Good music apps for the iPhone?

I'm looking for a music app where you can create playlists and listen to them while the app is closed, and can listen to them when you have no internet

Spotify is my favorite one. Not sure if you can listen to it offline for free, but you can make your own playlists. You can listen while the app is closed. You have to listen to them on shuffle if you don't pay for the app. For the premium (paid app) it's $10 a month. Otherwise there's a free version.

Oh I got you download these two are amazing! I love how they don't require Wi-Fi.

Download+

Lov3IDM

^^Download those two ^^ you won't regret it