Flower
...
World of Goo
Gemini Rue
AudioSurf
Journey
Deponia (series)
Quarrel
ilomilo
Plants vs. Zombies
To the Moon
Botanicula
Machinarium
Trine 2
Resonance
The Journey Down
The Book of Unwritten Tales (series)
Lost Chronicles of Zerzura
Edna & Harvey (series)
are indie games (or at least games I'd call indie) I enjoyed the most in recent years.
Flower is not only my favorite one of those, it also became one of my most favorite games ever.
There are also a few famous ones I played that weren't really for me (Limbo, Braid, Castle Crashers, Bastion, Unfinished Swan, Dear Esther, The Cave, Superbrothers)
and a ton I've never played (Minecraft, Cave Story, The Binding of Isaac, Super Meat Boy, Amnesia, Torchlight, Terraria, FTL, The Sea Will Claim Everything, The Legend of Grimrock,..).
