I have always loved watching cartoons, be it all-time classic Tom & Jerry or digitally rendered Galactik Football, I've been fond of them all. Though I hardly had cable during my school days, I remember making good use of it whenever I got a chance :D
I wasn't much into comics though. First, coz I only got silly ones like Chacha Chaudhary or less famous ones which appeared in random magazines. Second coz these also had boring artwork. But thanks to my friend Thriddas, I found the new world of comics (E-Books though, I miss the feel of paper now..). and then came Anime & Manga!
Fine. Coming to the point, Manga is a typical Japanese style of Comics (They are in different types though). Anime is the animated form of it. Though not many of us differentiate Anime from regular cartoons, shows like DragonBallZ, Pokemon, Shin Chan, Naruto, Full Metal Alchemist, Bleach are some of the popular Anime shows (/Manga).
So for those nerds who still couldn't figure it out after all those wiki links, maybe this'll help:
A Glimpse of the world of Manga & Anime Expressions