PokéBase - Pokémon Q&A
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With the exception of Legends Arceus and BDSP and the spinoffs

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Actually catchable in the game itself. In-game trades are fine.
What if is only obtainable through breeding?
Then no.
If the Pokemon is a version exclusive, does that count?
That is a no.

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  • Magikarp
  • Gyarados
  • Golbat
  • Jigglypuff
  • Wigglytuff
  • Goldeen
  • Seaking
  • Horsea
  • Seadra

Source and Pokebase.

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Gyarados too
Gyarados is only obtainable in Black/White by evolving Magikarp, but I'll add it.
Would the Zubat line count? You can only get Zubat by breeding Golbat/Crobat in Black/White, and you can only get Golbat by evolving Zubat in X/Y and Sword/Shield.
g said that breeding doesn't count. I'll add Golbat though
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These are the Pokemon that I found were available in all major games since the games they were introduced in, as Lets Go only has Generation 1 Pokemon (and Alolan forms too, I suppose), no Gen 2-7 Pokemon are included:

Jigglypuff and Wigglytuff
Golbat (Zubat is only obtainable through breeding)
Horsea and Seadra
Goldeen and Seaking
Magikarp and Gyarados
Alolan Raichu
Alolan Diglett and Alolan Dugtrio
Alolan Exeggutor
Alolan Marowak
All Pokemon that originate in Galar, excluding version exclusives

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