Anyway, what indie games? Please suggest a few, because I have no idea and would like to try some.
On the top of my head: Trine & Trine2, Fez, Botanicula, Psychonauts, Broken Age (anything Double Fine does actually), Limbo, Brothers: A Tale of Two Sons, Transistor, Amnesia, The Binding of Isaac, Hotline Miami, Papers Please, Shelter, Super Meat Boy...
I could also include my favorite, Journey, thatgamecompany being indie, even though they're a part of Sony.
Oh, and two games that weren't made by indie companies, but definitely were brought to life thanks to the popularity of the indie scene: Child of Light & Valiant Hearts.
I like the freedom in artistic direction most of those games can have, making them look really unique and stand out compared to the trend of hyperrealism we're having in video games. Also, some of them can be very weird and experimental, almost redefining the concept of "what is a video game" (Mostly thinking about Mountain from David O'Reilly, but then again, O'Reilly has never been anything but experimenting, the guy is quite weird & genius at the same time).