I personally enjoy the Marvel universe, even before all of the movies came out, just because of its connective world.
A good place to start would be with reading Avengers: Disassembled, basically a story about the Avengers (Captain America, Iron Man, Scarlet Witch, Hawkeye, etc.) facing a bit of craziness from within their own superhuman family. Next, for more insanity, you could read House of M then read either Civil War or X-Men's 198. All of these stories I've enjoyed and they are all continuing now.
Also, for a reference, check some stuff out online. I like to go to www.comicvine.com for character info (from almost any comic universe), plot story lines (for getting info on past stories from the 50's, 60's, 70's, 80's, and 90's), and comic news (reviews, movie info, etc.)
Personally, I enjoy western style comics much more than Japanese comics and animation, but to each their own.