My favorite cabbage recipe of all time is a grilled slaw. I originally found it on Epicurious, but now that they have a paywall, here’s the exact same recipe elsewhere. Note that I leave out the tarragon because it’s the only herb I hate. You can make it with all green cabbage if that’s what you have, but don’t leave out the grilled green onions.
https://stearnsfarmcsa.org/2011/06/23/grilled-red-and-green-cabbage-slaw/