The Offspring (apparently) got asked to tour with Metallica and STP back in 1994
Right now I'm reading my copy of this book called "Sound of the Beast: The Complete Headbanging History of Heavy Metal". In that book, at page 305-306, it said that The Offspring turned down offers to play arena shows with Metallica and Stone Temple Pilots back in 1994. Dexter stated, "It just really didn't seem like the right thing to do. I still like the club thing, even if it's a big club. I like Stone Temple Pilots - it's not like we're just saying we're too punk for that." Here's the link to the book:
I know Metallica played Lollapalooza back in 1996 which had Rancid, Soundgarden and the Ramones on the bill, but I can't really imagine an Offspring tour with them. I wouldn't mind seeing an STP tour with The Offspring though.