I recently watched Steins;Gate. I would have to say that it's one of my favourites. It's a sci-fi thriller, though there's not much in terms of action sequences. Don't watch its predecessor, Chaos;Head, because it's really not good, despite a relatively interesting first episode or two.
Code Geass is really good, too, for sci-fi and action. The first season is far better, but the second isn't as bad as some would say.
Puella Magi Madoka Magica is also awesome. Don't be deterred by the whole magical girl thing; it's much, MUCH more than that.
Some of my other favourites, including things that you might not like, so look them up if you want, include:
Durarara
Baccano
Angel Beats
Clannad
Gurren Lagann
Nichijou
Kino's Journey
Higurashi no Naku Koro Ni
Pani Poni Dash
Persona 4 The Animation
Shakugan no Shana
Code Geass is really good, too, for sci-fi and action. The first season is far better, but the second isn't as bad as some would say.
Puella Magi Madoka Magica is also awesome. Don't be deterred by the whole magical girl thing; it's much, MUCH more than that.
Some of my other favourites, including things that you might not like, so look them up if you want, include:
Durarara
Baccano
Angel Beats
Clannad
Gurren Lagann
Nichijou
Kino's Journey
Higurashi no Naku Koro Ni
Pani Poni Dash
Persona 4 The Animation
Shakugan no Shana