I’m a fan of music made in the moment, improvisational tunes made by groups on the spot, on the fly, and hopefully on the beat. I attend a few local drum circles, and really enjoy playing in them.
Along with drums, these shindigs will often feature the Native American Flute. It’s a wonderful, soulful instrument that seems to be very friendly to beginners. You can basically learn to play in an afternoon.
There are a great many web links to pages that will tell you how to build, buy, or play them, so I won’t detail all of that here. But I will give a couple of links below from Carlos Nakai, who is generally considered one of the best players.
It’s a wonderfully satisfying instrument, full of heart and subtlety.