I'm not into much anime. I used to watch Pokémon (I still watch some of the original generation's episodes and movies, because face it, they are the only good ones). I used to watch Black Butler, but it turned out to be a Mary-Sue story. I watched Death Note until *spoilers* L dies, then I wasn't motivated to watch anymore. I watched half of Soul Eater then skipped to the end, only to find out it had the stupidest ending to anything ever. I watched the first few episodes of Bleach, but then realized it took 5 episodes to beat the first bad-guy. The only anime I currently watch and will probably only ever watch from now on is Hetalia, because racist jokes are funny. Non of the characters are killed off. There is no point to it, so there is no such thing as a slow-paced story in it. You can't call it Mary-Sue because everyone has the same amount of good and bad in them. Despite all I said about Hetalia, it's amazing. It doesn't make people angry (unless they are insecure about their stereotypes). It also made me interested in music in other languages and I made a playlist using foreign songs: [link]
I still like anime, but I've always been a fan of manga first and foremost. I read manga almost exclusively now; there's only been a few animes that have piqued my interest--and they have to been animated really well, or just have a great execution of story in general.
Comics are awesome; and manga has the freedom of style and story (and accessibility; you generally have to buy American comics while a lot of manga is totally free online) that I desire. I mean, mainstream Western comics are overwhelmingly story-repeats of well-known superheroes. It's same character, different story. You have to know where to look to find original stories and. However, I am jealous of the art: full color pages, baby!
Also, manga generally has beautiful characters. Yes, they're all very stylized, but they're also all beautiful. And I like looking at beautiful and handsome characters. In Western comics, the goal is a drawable-realism, and I've seen many unattractive main characters. I know that's such a... vain reason to like Asian comics over Western ones, but it bugs me when main characters aren't pretty. XD
The only reason I sometimes like it is because it was one of my biggest influences growing up and it got me into art. I'm more of a manga person though. The last anime I've watched was Soul Eater 2 years ago.
For me, this is the type of anime-ish style I like and respect
If its relevant and pushing the medium then yeah, but I really don't keep up with it unless a friend highly recommends a series. Or I keep seeing fanart everywhere and I dig the style so I look into that's how I ended up seeing Gurren Lagan.
I don't know why, but anime seems to be a part of my life as an artist and animator. I keep going back to it to study animation techniques and the movies and the old shows and finding stuff that I love about it. Right now, I'm into Fullmetal Alchemist Brotherhood, Bleach, and Kekashi. For me, it's always been television which introduces me to anime, mainly because I never had the time to go to any conventions and my town is pretty smallish, and we don't have much in the way of new anime and manga unless it's through Boarders or Barnes and Noble. I've never really grown out of it I guess, like Halloween.
I do still care, though I'm much more picky about the shows I want to watch. A lot of the 'Moe' stuff I have no interest in, since the main point is either wish-fulfillment or just the cuteness. I usually prefer anime like DRRR!!, Mushishi, and the like.