Noticed this because I double-click to play from playlist, and version 1.0.125 will not play when double-clicking from playlist.
Using Das_Xion_Skin and the old default playlist, from the beta (1.0.124) I think AND from the new playlist, so I don't think it is skin specific.
Choosing Control Menu > Play from playlist does work.
EDIT: Also ended up not continuing through the playlist a few minutes after and caused me to restart Xion, which solved all of the above...
OS: Windows XP Pro