Thelonious wrote Epistrophy, you might have heard that one through him
Summertime's an obvious one that I'll go ahead and get out of the way. I'm partial to Ayler's passionate take on it.
Lonely Woman is an unlikely standard imo because the original performance is such a high watermark for the tune but here we are. Otomo Yoshihide made an EP of solo, duo, trio, and so on performances of the standard that worked out pretty excellently.