Is there any music apps like this on the iPhone?

Don't get me wrong, Spotify is a great app in all but I just wish I can add and organize albums and be able to find music a lot easier instead of adding multiple albums to a playlist and having to scroll down to the song I want to play, is there a free app like that? If not I will be willing to pay for it

Yeah

Music Queue Player App
I'm a big fan of Music Queue Player. It uses the same layout as the Apple Music app (so it's super easy to use) but the guy has enhanced the interface and let you create queues, all for free! Definitely recommend it. For me, it's fixed what was missing in the Music app.

If you ask me I think Spotify is the best app by far. However a few I can recommend to you here.
-Grooveshark
-Rhapsody
-MOG

I agree with abraham. I use Music Queue Player app and it's solved the problem of having to scroll and wait for one song to finish before playing another. The app let's you make queues of albums/songs/playlists etc. And it's really simple to use. Nicely designed too.
https://itunes.apple.com/...84779?mt=8