Death Note - anime K-ON! and K-ON!! - anime, if you like moe Elfen Lied, only if you like bloody anime. Both anime and manga The Melancholy of Haruhi Suzumiya - anime and/or visual novel Steins Gate and Chaos Head if you like really vague anime's with all sorts of difficult theories. Code Geass I'll post more when I get back home ^^
Gintama - Most hilarious anime you will ever watch... With some good fights aswell. Full Metal Alchemist - Amazing story line. Death Note Desert Punk Samurai Champloo HunterXHunter Tenjo Tenge
Manga
Naruto,Bleach, One Piece, Hitman Reborn, Toriko, Fairy Tail, BeelzeBub, Claymore, Hajime No Ippo, The Breaker/ The Breaker: New Waves, Veritas, Trace, Noblesse, Zippy Ziggy, Tower Of God