I mentioned this in another post, but I think the Styx Greatest Hits album is about as strong as a Greatest Hits album that is out there by any band. The only change I would make would be to add Rockin The Paradise for Miss America and potentially switch the sequencing a bit.
In fact, I would lead off with RTP with my revised GH
AD 1928/Rockin The Paradise
Lady (original)
Too Much Time On My Hands
Mr. Roboto
Show Me The Way
Foolin Yourself
The Best Of Times
Babe
Renegade
Come Sail Away
Crystal Ball
The Grand Illusion
Lorelei
Blue Collar Man
Suite Madame Blue
Don't Let It End