Chesstris: Chess + Teris. Playable.
Chesstris is a chess variant that combines Chess and Tetris (but also has VN parts)
Instead of moving pieces, you drop them in a column and try to checkmate kings while avoiding to checkmating your own. It doesn't have a pvp and is more akin to chess puzzles.
It has story elements but there's a way to play just puzzles. I just released it's demo version on Steam so feel free to try.
I've been told that some of the puzzles are very hard, so just keep it in mind if you decide to try. And if you do I'd be glad to hear your thoughts.