iReal Pro v2025.8 or higher (Android)

Your Playlists list underneath the Library on the main page.
Hold on a Playlist then drag up or down to the desired position.
To sort alphabetically, tap the Sort button top right.

 

 

Older versions

Either Tap and hold a playlist name then drag the handle (2 lines) on the right of the playlist name up or down to move it to the desired position;

or Tap the Sort icon in the top right corner, then choose to either sort Alphabetically or Manually

Tap on X top left when finished to exit Sort mode.