Not wholly dissimilar to the excellent Swift & Stitch, the recently released The Cat That Got The Milk is a freeware indie game you, oh tasteful protector of the arts of a reader, should definitely try. At its basis, you see, The Cat That Got The Milk is a simple yet well designed twitch-arcade game that only lets you go up or down and handily press space to skip a level. Said simplicity is a wise choice* and will not make enjoying the game's artful take on modern art (and Russian constructivism) a chore; it is, after all, this take exactly (and those exquisite visuals too) that sets The Cat apart.
Anyway. You can see a magnificent, moving and quite playable version of Kandinsky's work and find out what I'm talking about by following this very link. And apparently by pressing space quite a bit.
*if you are in a rather more hardcore gaming mood, well, the game can also offer quite a challenge. And some pretty lofty high-score goals too.