I grew up in the '80s, too, and all those bands you mentioned chewed. Richard Marx? Def Leppard? Oh my. Why not just throw in Kajagoogoo, Human League, Dexy's Midnight Runners, and Men Without Hats in there for good measure?
Some fun songs there...Too Shy, Don't You Want Me, Come On Eileen, and The Safety Dance. I like 'em all. Doesn't matter to me if anyone else does or not. Afraid to list your own favorites?