You could do a song circle, where one person starts singing a short wordless musical phrase (something easy to sing, with a breath built in). Then the next person adds something that goes with that, either musical or rhythm, and each person in the circle adds something.
After everybody's singing, the first person does their phrase one more time, then stops (and indicates that by putting their hand over their mouth). The next person, one more time, hand over mouth, so on and so on until you get to the last person.
This works best in groups of under 20 or so.
You could do an improvised dance. Start the music, and one person goes in front of the group and starts a short dance phrase that they repeat over and over until everybody gets it. Someone else can come up and start something new. They can stay in one place, or travel a little bit.
And here's a very cacophonous, very active game called Enemy Defender. The main rule is: DON'T RUN.
Each person in the group individually and secretly selects someone gives them the name Defender. Then each person secretly selects another person and gives them the name Enemy. Their task is to make sure that their Defender is always in between them and their Enemy. Say go!
Instant madness ensues, and people will start running. Keep reminding them of the Rule. Do it a couple of times (with new Enemy and new Defender).