I collect DC Comics, mainly from Green Lantern and love them to death. Superhero Comics are just my thing. I love the characters, the powers, the flashy art and will go through many reboots and whatnot, because I love them so much. 
Aside from that I enjoy all kinds of comics. I enjoy comics with fantasy vs. science elements, with lots of mysteries and a world we get to know slowly through the characters eyes (for example the well known Gunnerkrigg Court). But I also like short, humorous slice of life comics or deep artistic comics from time to time. I think a good comic can convince me of any genre, as long as the characters and art are captivating to me. 