When does a player's turn end in the Now That's What I Call Music board game?
Quick disclaimer I've never played this and struggled to find printed rules online.  My rules source here is a YouTube unboxing video which showed both sides of the rules sheet.

from my screen cap of the rules the wording is:-


  If the active player answers the question correctly their piece remains where it is.  If they answer incorrectly they go back to where they started their turn.  This is the end of their turn.


If a player was to continue and take another turn this should and would be explicitly stated in the rules.  I personally would read that as "The player wither remains where they are, or moves back.  THEN (regardless of the result) their turn ends.

The other rules for Song Charades and Oldies follow a similar pattern of stating what happens for success and failure and then that turn passes on.  From reading this I don't think you can assume the players take successive turns in a Trivial Pursuit fashion. Just because it's the rule in another game does not mean it is here.  This to me is a case of 'If its not printed in the rules to take extra goes then it isn't the rule'