There are LOTS. of Tetris games out there. So many in fact that Tetris has had ports to MS-DOS, NES, GameBoy, iPhone and Android, Phillips CD-i, SEGA Genesis, hell, even CALCULATORS have Tetris games!
But there lies within the deep mantle of the internet, unwoken by mass public eye, the amazement that is NullPomino.
https://code.google.com/p/nullpomino/
NullPomino is a game engine designed to play over +100 gamemodes (with the option to make your own, yes you read that right) of the classic game of Tetris made by the one and only Alexey Pajitnov, in so many ways possible that if you counted them you'd need about 30 notepads.
What's more, it has built in TASing AND rerecording! That's right! If you enable Frame Step in the general settings, you can pause the game during gameplay and TAS with frame advance, and save it as a replay. Then while viewing that replay you can press the HOLD button at any time to record a new segment! No need for Cheatengine speedhack, no need for RAM address viewing, just you, your fingers and hopefully not the need for laser eye surgery once yours get turned inside out from seeing how fast all those blocks are moving.
If we're taking DOOM TASes now, why not NullPomino?