What game involves super human perfect timing that does not include some other kind of puzzle to be solved?
Fighting games? Micro Heavy RTS or MOBAs? Bullet Hell Shooters?
All of these have strategy and can thus be reduced to puzzles.
I suppose if a game was purely just, click button as fast as you can after something happens, then ok, you got me, but add even one more element, and technically this is an extremely simple puzzle, albeit brutally unforgiving in terms of getting your human body to solve the puzzle.
Is there something different you have in mind?
EDIT: Alkheemist answered this later, with rhythm games (that have no elements of strategy ie, GuitarHero is not a puzzle but NecroDancer still is). I agree those are not puzzles. Skipped my mind as I have not played one in a very long time.
I would say you also have got me on a pure RNG slot game. Theres no gameplay, theres no puzzle, theres no strategy.
At least, within the game itself. If youre going to somehow exploit or hack or something, arguably thats now a real world puzzle of how to do it and not go to jail, but excepting that… yeah, there are lots of online ‘games’ with literally no puzzle element, just do thing and then random output happens, with a bunch of flashy graphics that have 0 bearing on what the outcome will be, whether its a digitized horse race or slots or whatever.
I would argue those are not really games though.
The player cannot make any choice that is more or less likely to achieve the goal, thus its the illusion of a game. No meaningful choices.