I have 0.6.0~beta4-1. It took me a while to figure out how to work with Playlists, so I'm going to post what I discovered here. Forgive me if this is incorrect / obvious / covered elsewhere in this thread.

CREATING A PLAYLIST
1. Go to menu / Playlist and tap on "New Playlist" (bottom option if there are many)
2. It should give you an opportunity to enter the name of the playlist.
3. You can tap and hold on the name of the playlist to either add files to that playlist or change the name of the playlist or delete the playlist.

MY WISH LIST (Madman, feel free to cherry-pick / ignore as you see fit):
* Rename the item menu / Playlist / New Playlist to "Create New Playlist". Otherwise, if you create a bunch of new playlists and don't edit the name, you have multiple items called New Playlist in the same menu & it's confusing.
* If I tap & hold to rename a playlist, that name change isn't reflected in menu / Playlist until I restart YouAmp.
* Rename the "Add" option in the playlist's tap and hold menu to "Add Tracks" or something to clarify that you're adding to that playlist rather than adding a new playlist to the system.
* If I choose "Add" twice, the second "Add" doesn't remember what folder I was in for the first "Add". Remembering the folder would be nice.
* It would be nice to be able to add files to a playlist from within YouAmp. For example, browse or search to display a bunch of tracks, highlight a bunch of them, tap and hold, choose Add to Playlist and then choose the playlist (either via a submenu or a separate dialog).
* It's not obvious that I can tap and hold on the playlist name. What about putting your little down arrow icon next to it for a pull-down menu? Perhaps the first few options could be Add, Rename, Delete, but after that you could just list the other playlists.