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I'm gonna go ahead and say all starters should have their own signature attack all to themselves. I'll start with Kanto only because I thought of good names for the moves (that were used only in the anime, not the games).
Venusaur
>Bulbaby: Grass-type, status/95acc, puts opponent to Sleep, sound move (technically the signature move of Bulbasaur that Venusaur can learn only if it evolved from a Bulbasaur that learned Bulbaby by level-up [level 48]) 10pp
Charizard
>Aerial Submission: Fire-type (inflicts Flying-type damage also, like Flying Press, except only Fire-type Pokemon get the STAB) Physical, 120bp/95acc, 10% Flinch, can hit opponents using Fly or Bounce, can hit any opponent during a Triple battle, 10pp
Blastoise
>Dual Cannon: Water-type, Special, Hits 2 times, 95acc (BP functions like Magnitude, with minimum base power at 40 and maximum base power at 100), 10pp