Ah, sorry for the late response.
Hm, I've already mentioned Cowboy Bebop, Samurai Champloo, and Mushishi... My favorites also include Planetes and Uchuu Kyoudai. Psycho-Pass was pretty good too, though I'm just going to pretend that the second season doesn't exist. I haven't finished Fullmetal Alchemist yet, but it's really good! My anime taste is pretty boring, since I haven't really watched all that much anime (I only got back into it last summer).
Also, maybe it's just me, but I absolutely hate watching moe anime. It just bothers me so much. I haven't really watched a lot of popular anime just because of that, I guess. The only popular ones I've watched are Naruto, Yu-Gi-Oh!, and Pokemon, but that's only because I grew up with those as a kid. They still make me feel nostalgic, even though I don't keep up with them anymore. I think I cried a little when Naruto ended despite not having watched it since third grade.
I'm sorry for rambling, haha