Are there any problems with iphones?

I just finished reading the biography of steve jobs by Karen Blumenthal, a book that my uncle bought for me. He promised that if I could read and summarize it, that he would by any apple product of my choice. Although a novice, who had never used an apple product before, I told him to buy me any version of the iphone. So I need a a list of problems these phones give.

Yes. I own an iPhone 4, but the problems I'm listing apply to the iOS:

short battery life
lack of customization
encoded MPEG 4 music files (meaning you can't play it on anything other than iTunes, on your account)
intellectual property
short battery life (it really bugs me)
they charge you for everything