Taking the plunge

I've purchased the first three volumes of Ultimate Spider-Man from Amazon. I've always wanted to get into comics, but I found the continuity too intimidating. I'm taking the plunge now because I find myself growing bored and frustrated with the Harry Potter fandom. I'm not leaving, but I need a new hobby. Anyobody got any other recs for titles I should try? (Keeping in mind that while I know who the major players are in Marvel and DC, my previous exposure to comics is one Batman omnibus). Also nothing too graphic or adult.