Major glitches of the Pokémon series
Arbitrary code execution 
0x1500 control code arbitrary code execution (Crystal) | Cart-swap arbitrary code execution | Generation I custom map script pointer | Generation I invalid meta-map scripts | Generation I item ("8F", "ws m", "-g m", "5かい", "てへ" etc.) | Generation I move ("-", "TM42") | Generation I Trainer escape glitch text boxes | Generation II bad clone | Generation II Burned Tower Silver | Japanese Crystal Pokémon Communication Center SRAM glitches | Coin Case glitch | Generation II glitch Pokédex sortings | Pikachu off-screen glitch ACE | OAM DMA hijacking | Pikachu glitch emote | Generation III glitch Pokémon summary | Generation III glitch move animation) | Remote code execution | TM/HMs outside of the TM/HM pocket | ZZAZZ glitch Trainer FC
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No further extensions 
Cloning | Item duplication glitch (Generation I) | Pokémon merge glitch ("Q Glitch", Generation I) | Time Capsule exploit | Bug-Catching Contest data copy glitch (Generation II, Japan only) | Berry glitch | Battle Tower Lati@s glitch (Generation III) | (Mimic) Transform Rage glitch (Generation IV)
Transform held item glitch (Generation IV, Japan only) | Mimic glitch (Generation IV, Japan only)
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Buffer overflow techniques 
99 item stack glitch | LOL glitch | Rival LOL glitch | Instant LOL glitch | RAM LOL glitch | Out of bounds LOL glitch | blockoobLG | Instant encounter infinite chain glitch | LGFly | Super Glitch (Generation I) | Party remaining HP glitch | Super Glitch (Generation III) | Text pointer manipulation mart buffer overflow glitch | CoolTrainer♀-type move | Double distort CoolTrainer♀ corruption | Yami Shop glitch | Party Pokémon box data shift glitch | Unterminated name glitch item instant encounter (Japanese Red/Green)
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Item stack duplication glitch (Generation I) 
Generation I expanded items pack (Glitch Rocket HQ maps, Map FE (English and non-English European Yellow) | Map script pointer manipulation (arbitrary code execution | Map script pointer item ball manipulation) | Text pointer manipulation (arbitrary code execution | Item ball manipulation | Mart buffer overflow) | Trainerless instant encounter glitch
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Bad clone glitch (Generation II) 
????? party overloading (Type 0xD0 move glitch | ????? map corruption | Celebi trick | Celebi Egg trick | Shiny Celebi trick | Glitch move map corruption | Overloaded party map corruption | Glitch Unown (Glitch Unown map corruption) | Duplicate key items glitch (Infinite items and item creation, Expanded Balls pocket (Wrong pocket TM/HMs, Glitch Pokédex categories))
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Closed menu Select glitches (Japanese Red/Green) 
Dokokashira door glitch (International) | Fossil conversion glitch (international) | Second type glitch | Skip to Level 100 glitch | Trainer mutation glitch | Walk through walls (International) | Lift glitch | Badge describer glitch
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Pomeg glitch (Generation III) 
Pomeg data corruption glitch ("Glitzer Popping") | Charm glitch
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Voiding (Generation IV) 
Tweaking
Broken escalator glitch (Japan only) | Elite Four door glitch (Japan only)
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2x2 block encounter glitches (Generation I) 
Left-facing shore tile glitch (in-game trade shore encounter trick, Old man trick, Trade link up shore encounter trick, Fight Safari Zone Pokémon trick) | Viridian Forest no encounter grass tiles glitch
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Glitch City 
Safari Zone exit glitch | RAM manipulation | Out of bounds Glitch City (Generation II) | Slowpoke Well out of bounds corruption (French Gold/Silver/Crystal)
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Large storage box byte shift glitch 
Storage box remaining HP glitch | Generation I max stat trick
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Pikachu off-screen glitch 
Trainer corruption glitch
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SRAM glitches 
Generation I save corruption | 255 Pokémon glitch | Expanded party encounter table manipulation (Generation I) | Send party Pokémon to a new game (Generation I) | Generation II save corruption | Mailbox glitches | Mystery Gift item corruption | Trainer House glitches
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Trainer escape glitch 
Death-warp | Ditto trick | Experience underflow glitch | Mew trick | Text box ID matching | Meta-map script activation
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Walk through walls 
Ledge method | Museum guy method | Rival's effect | Select glitch method (International Select glitch method), Brock Through Walls
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Surf down glitch 
Grass/rock Surfing glitch (Spanish/Italian only) (adaptions: Submerge glitch (international)) | 8 8 (0x7C) grass/rock surfing glitch (English Red/Blue))
(view, talk, edit)


0x1500 control code arbitrary code execution (Crystal) | Cart-swap arbitrary code execution | Generation I custom map script pointer | Generation I invalid meta-map scripts | Generation I item ("8F", "ws m", "-g m", "5かい", "てへ" etc.) | Generation I move ("-", "TM42") | Generation I Trainer escape glitch text boxes | Generation II bad clone | Generation II Burned Tower Silver | Japanese Crystal Pokémon Communication Center SRAM glitches | Coin Case glitch | Generation II glitch Pokédex sortings | Pikachu off-screen glitch ACE | OAM DMA hijacking | Pikachu glitch emote | Generation III glitch Pokémon summary | Generation III glitch move animation) | Remote code execution | TM/HMs outside of the TM/HM pocket | ZZAZZ glitch Trainer FC
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Cloning | Item duplication glitch (Generation I) | Pokémon merge glitch ("Q Glitch", Generation I) | Time Capsule exploit | Bug-Catching Contest data copy glitch (Generation II, Japan only) | Berry glitch | Battle Tower Lati@s glitch (Generation III) | (Mimic) Transform Rage glitch (Generation IV)
Transform held item glitch (Generation IV, Japan only) | Mimic glitch (Generation IV, Japan only)
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99 item stack glitch | LOL glitch | Rival LOL glitch | Instant LOL glitch | RAM LOL glitch | Out of bounds LOL glitch | blockoobLG | Instant encounter infinite chain glitch | LGFly | Super Glitch (Generation I) | Party remaining HP glitch | Super Glitch (Generation III) | Text pointer manipulation mart buffer overflow glitch | CoolTrainer♀-type move | Double distort CoolTrainer♀ corruption | Yami Shop glitch | Party Pokémon box data shift glitch | Unterminated name glitch item instant encounter (Japanese Red/Green)
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Generation I expanded items pack (Glitch Rocket HQ maps, Map FE (English and non-English European Yellow) | Map script pointer manipulation (arbitrary code execution | Map script pointer item ball manipulation) | Text pointer manipulation (arbitrary code execution | Item ball manipulation | Mart buffer overflow) | Trainerless instant encounter glitch
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????? party overloading (Type 0xD0 move glitch | ????? map corruption | Celebi trick | Celebi Egg trick | Shiny Celebi trick | Glitch move map corruption | Overloaded party map corruption | Glitch Unown (Glitch Unown map corruption) | Duplicate key items glitch (Infinite items and item creation, Expanded Balls pocket (Wrong pocket TM/HMs, Glitch Pokédex categories))
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Dokokashira door glitch (International) | Fossil conversion glitch (international) | Second type glitch | Skip to Level 100 glitch | Trainer mutation glitch | Walk through walls (International) | Lift glitch | Badge describer glitch
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Pomeg data corruption glitch ("Glitzer Popping") | Charm glitch
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Tweaking
Broken escalator glitch (Japan only) | Elite Four door glitch (Japan only)
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Left-facing shore tile glitch (in-game trade shore encounter trick, Old man trick, Trade link up shore encounter trick, Fight Safari Zone Pokémon trick) | Viridian Forest no encounter grass tiles glitch
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Safari Zone exit glitch | RAM manipulation | Out of bounds Glitch City (Generation II) | Slowpoke Well out of bounds corruption (French Gold/Silver/Crystal)
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Storage box remaining HP glitch | Generation I max stat trick
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Trainer corruption glitch
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Generation I save corruption | 255 Pokémon glitch | Expanded party encounter table manipulation (Generation I) | Send party Pokémon to a new game (Generation I) | Generation II save corruption | Mailbox glitches | Mystery Gift item corruption | Trainer House glitches
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Death-warp | Ditto trick | Experience underflow glitch | Mew trick | Text box ID matching | Meta-map script activation
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Ledge method | Museum guy method | Rival's effect | Select glitch method (International Select glitch method), Brock Through Walls
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Grass/rock Surfing glitch (Spanish/Italian only) (adaptions: Submerge glitch (international)) | 8 8 (0x7C) grass/rock surfing glitch (English Red/Blue))
(view, talk, edit)
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A few 'left-facing shore tiles' may bring up a Pokémon from the last area that the player visited, either when the player either surfs on them, or walks on them (via a walk through walls glitch, such as the ledge method).
In the Italian and Spanish versions of Pokémon Red and Blue, the trick works, but the player has to use a walk through walls trick (ledge method) and walk on the left-facing shore tile, otherwise (if the player was just surfing) they will encounter Tentacool.
In the French and German versions, the left-facing shore tile glitch works normally. In all versions of Pokémon Red, Green, and Pokémon Blue (Japanese), as well as Pokémon Yellow the glitch seemingly does not occur. In these versions, apparently no Pokémon can be encountered on the shore tiles that work in other versions.
Working shore tiles
The tiles directly east of Cinnabar Island. The tiles east of the right-most Seafoam Islands cave. The left-facing shore tiles in a Sea Route 19 Glitch City.Applications

2. The old man trick lets you store your name data in the grass tile data. This allows you to encounter certain, and often, high or over level 100 Pokémon, including a few rare Pokémon like Mewtwo, as well as glitch Trainers and variants of the glitch Pokémon Missingno. 'M (00) is also possible, but it cannot be encountered with a pre-set name that was chosen from the new game screen and wasn't input manually.
Missingno. and 'M (00)'s invalid encounter flags enable duplication of the sixth item after encountering them or capturing them, provided that there are less than 128 items in the sixth slot.
In German Red/Blue, the letters Ä (hex:C0), Ö (hex:C1), Ü (hex:C2), ä (hex:C3), ö (hex:C4) and ü (hex:C5) can be entered on the 'your name' screen, and these can be used to encounter glitch Pokémon with index numbers from 192-197 if one of the letters is the third, fifth, seventh, ninth or eleventh character, but the hex:C2 and hex:C5 glitch Pokémon (may) freeze the game on encounter.
The old man trick can be used to convert the fourth item into a few other items if the player has a name that lets them encounter a Trainer, and the identifier of the fourth item is not $1X, $3X, $5X, $7X, $9X, $BX, $DX, or $FX. This requires fighting a Rocket on Silph Co.'s 11F first.
The Trainer has level 250 Pokémon, and may use a Super Glitch inducing move, so a high level Pokémon with a one-hit KO move, X Speeds and an X Accuracy is recommended as it's otherwise impossible to defeat all of their Pokémon in one hit, and after the Super Glitch effect happens, the Trainer can send out the Pokémon that just fainted.
For more information, see 94 (0xF1) item mutation old man glitch method.
3. In-game trade shore encounter trick: Encounter hex:50 MissingNo. by performing an in-game trade before surfing on the left-facing shore tiles.
4. Trade link up shore encounter trick: Activating an in-game trade before surfing on the left-facing shore tiles allows the player to encounter Pokémon based on the other player's name, as well as get other encounters.
Cause
The left-facing shore tile glitch occurs because apparently the the left side of the 2x2 block ('shore') controls the type of Pokémon encountered (grass list, water list or none) with 'shore' counting as grass encounters, and the right side of the 2x2 block ('water') controls the encounter rate used (grass rate, water rate or none) with water counting as water rate encounters. Since the water encounter rate for Route 20 is not 0 and grass encounters are used, the player is free to encounter unintended Pokémon on the left-facing shore tile from leftover grass encounter data.