which headphones are the best sound quality? I like very loud music, preferably heavy bass and i do like noise cancelling
None of those... Look into brands like Shure, Sennheiser, Etymotic, and AKG. They're all ten times better than Bose, Beats, and Skull Candy.
I have tried the Bose AE2's. They are decent. Right now I am using the Beats Studio by Dr. Dre – Hi-Def Noise-Canceling Over-Ear Headphones and love them. Best pair of noise cancelling headphones I have owned