Localbitcoins face-to-face cash
Also the Mycelium wallet has a built-in trading feature called Mycelium Marketplace.
I just installed the Mycellium wallet, but I couldn't find any feature called Mycellium Marketplace, if you could tell me where that is located at that would be great!
Click on buy/sell Bitcoin at the bottom and you'll get your local options. In the UK it offers me the Mycelium Marketplace, Gildera and a credit card option.
You really, really shouldn't be selling for Paypal if you can possibly help it. Coinbase offer that option and that's the only place I'd consider doing it even if you have to give up a little info.
I downloaded the app on my phone and on my iphone I don't know if there is a difference from andriod but, I don't see the button.