First one is go. Wish I could.but work stuff doesn't align.
Ignoring the top seven lines of artists on the website, as they're all household names, I'll start with Cornelius (Japanese vaguely post-rock but more vocal). The next three lines after him are all great but all bands recommended on here already, If Sam Morton plays, you're doing better than Green Man. Slift, obviously, Mary Lattimore, Thus Love, Palehound, Master Peace, King Hannah (but you know that), Sam Amidon, House of All, Dawn Landes, Mozart Estate, Joe Gideon, RVG, Gently Tender, Kassi Valazza, Girl and Girl (definitely), Ex-Easter Island Head, Anastasia Coope, Brown Horse (brilliant at Green Man),
Some of them anyway...