From the last tour that I saw they played Cold Day In The Sun, Generator, Let It Die, and Stacked Actors. I saw they often switched the songs out over the tour too. So they definitely play the hits, but they do alot more.
Stacked Actors, Let It Die were both singles. That Stacked Actors "jam" has been done at every show since 99 (and is borderline insufferable at this point since it drags on for nearly 15 minutes).
Songs I wish they would play: Overdrive, End Over End, Wattershed, Weenie Beenie, My Poor Brain, etc. Just one or two deep cuts would be sufficient and there is plenty of time for them if they would just cut back on that stupid bullshit jamming.