Well, honestly, it depends on how good the storyline and art is (which is a matter of opinion).
I personally prefer anime that has a really good storyline, takes me through all of the feels, and some of the characters are decently attractive (currently watching To-love-ru darkness) including the males. Considering the fact that I'm a huge pervert, I'm also okay with a lot of the borderline hentai out there. But that's off-topic.
The bad side to some anime is when most of the characters look like shit, the storyline is pretty awful, when everything is awfully sequenced together (Itsuka Tenma no Kuro Usagi), or when one or all of the characters are extremely annoying (when the characters say something or do something so retarded, you want to punch them instead of laugh at them. Or when you're like Kotegawa Yui). Some people give up on anime because of what it looks like. Some people just don't like the look of anime because most of them are... a little weird (some make you feel like you're watching an episode of MLP, makes you feel all weird inside).
In the end, it all depends on what you're in to and how you respond to the artists style. I'll never watch Death Note. Looks retarded, in my opinion.