Lots of odd things...
Superman fights Popeye
Senator Barbara Gordon
Damge being molested as a child (His parents were hand picked by Vandal Savage to raise a kid who could potentially be the most powerful superhuman on the planet!)
Though my favorite odd moment comes from Vext #1. Superman & Zauriel visit recently dethroned god of mishap Vext, who is trying to fix his toilet. Superman offers this helpful advice: "Just jiggle it."