Musical version with no sitting out
Instead of being eliminated when the music stops without a spot, everyone just squeezes into whatever space is left. It gets sillier and more crowded rather than smaller.
"You're out" is the most common rule in playground games, and it's also the one doing the most quiet damage.
The child who gets caught first, the one who's usually already the least confident, ends up with the least amount of actual playing time. The children who need the extra reps end up watching from the side while everyone else keeps going. It's backwards, even though nobody designs it that way on purpose.

Why this fix matters most
There's proper research behind this too, not just a hunch: a 2010 study in the Journal of Physical Activity and Health comparing elimination-style games against non-elimination versions found the elimination format genuinely reduces activity time and lowers how much fun and self-esteem children report, especially for the ones eliminated early. Read the study on elimination games and children's activity.
Three easy swaps
Instead of being eliminated when the music stops without a spot, everyone just squeezes into whatever space is left. It gets sillier and more crowded rather than smaller.
Any tag-style game (British Bulldog, Stuck in the Mud, that sort of thing) works better with a version where being caught means swapping to a helper role for one round, then rejoining, rather than sitting out for good.
If you've got more than two children, keep teams tiny and games short, and rotate who's playing rather than having a bench. Nobody's off for long enough to disengage.

The framework behind it
The framework behind all this, sometimes called LET US Play in the research world (Brazendale et al., 2015), essentially says: fewer stoppages, fewer eliminations, more room to move, and physical activity and enjoyment both go up. It's not a complicated idea. It's just one that most classic playground games were never actually designed around.

Related fix
The Traffic Lights, Gates and Sharks and Minnows page goes deeper on specific no-elimination versions of games your child probably already knows from school. See how Our Kickabout researches its pages.
Keep going
Mistake-proof versions of Traffic Lights, Gates and Sharks and Minnows.
Read adapting popular gamesRule one of five reusable rules for making almost any home football game mistake-proof.
Read Mistake-Proof Football GamesStart with the wider confidence ladder and a five-minute first game.
Return to Confident BeginnersTonight's five minutes
Next tag game, swap the sit-out for a one-round helper role.