To my knowledge, PG has never played any Genesis tunes. They tried to get him to go out on the '07 tour, I think, but he declined, saying he was too busy. He's truly lived up to the Solisbury Hill lyric "I was feeling part of the scenery / I walked right out of the machinery".
As for Hackett, I have a bunch of his solo stuff, and really enjoy it, too. Hopefully will get a chance to catch him someday.
Also going to see The Musical Box here in town in May, they're a Genesis tribute band that has been around forever and they're going to be doing the whole "Lamb Lies Down on Broadway" record. Should be pretty cool as well.