"Faith," which he didn't recognize (but I don't know that many lyrics, so I can't blame him)
I also sang a bit of "Careless Whisper," which I mentioned that my mom and I had always mocked because the cheatin' guy says his "guilty feet have got no rhythm." Quoth my mom: "It ain't his feet that are guilty!"
But Shannon eventually recognized my third attempt, with "Wake Me Up Before You Go-Go"
My favorite Wham!/George Michael songs, though, have always been their really early stuff, like Young Guns (Go For It), Wham! Rap, and Bad Boys, back when they were rebellious young British brats and less polished. (And I dare anyone to watch the video for "Bad Boys" and say George Michael does not set off their gaydar.) I remember watching those videos on tv with my mom in the mid-80s -- I think we had a VHS tape of their early videos or something -- and I had *such* a huge crush on GM's band-mate, Andrew Ridgeley, probably because he looked a tiny bit like the next door neighbor I was half in love with.