I have to add We're Still the Children, Only When It Feels and Tonight is What It Means To Be Young to the list, although I feel they're secondary to the two you have there already. If we're talking Steinman songs.
Brantely has a lot of good songs that I'd love to hear Meat tackle. I wouldn't object to hearing Meat's take on Free, Blue Bandana or She's a Woman
I'd also think some Springsteen material could work well (assuming that that's relevant to the thread, are we discussing
any already written songs?

). Maybe some more obscure songs like Frankie or Lost in the Flood?