I love rather absurd indie games outside the commercial scope. I call them "underground games", and I've a
blog dedicated to reviewing them.
I've posted here about a few of them. My favorite ones are
Agentia, a game were you write a poem by exploring your world. Its great.
Another long time favorite of mine is
HyperRogue. It emulates a strange, vivid world through that you might roam. I don't know any video game more fantastic.
There are some titles I didn't review there, because they are a bit to "big" for my usual scope, but that I love - and that might fit here. The first one is
Judero. It is a action-adventure with great writing, a smashing soundtrack, and very elaborate handmade elaborations - set in a bizarre, celtic-inspired world.
The other one is
The Sea will claim Everything. Whimsical graphic style, good OST, touching story, and a great sense for detail - every mushroom, every book has a unique and sometimes very elaborate description. Its great!