Besides liking cartoons about cute girls doing cute things I also have a hobby of reading manga anthologies and doujinshi where artists are more open to change and stylistic experimentation. To me, art and stories are best presented by a creator and grasped by an audience in short bursts, so one-shot manga, movies, short-run series are more my thing.
I don't have a taste specifically for or against anything however media that intentionally evokes strong emotions—amusement, depression, terror—without being perceivably formulaic or transparent are what I enjoy the most. 2D media in particular is amazing because it can portray extreme actions that can't easily be done in live action centered media where everything has to conform to the trappings of technology, physics, and morality. Writing-wise I also love it when conventional premises go in unorthodox directions. Of course, a show that does absolutely nothing or one that is blatantly made for marketing toys to children is good every now and then for relaxation purposes.