My whole collection used to be considered 'off-kilter' because I focused on Exhibit cards. Sadly, they are now mainstream and priced to boot. My main oddball collecting right now is:
1. Prewar printing errors: So much can go wrong with prewar printing and I love it all. You got your miscuts
Your missing inks
The old flipped the sheet the wrong way before I did the back:
The PWI (printing while drunk) card
And of course, the friendly ghosts
2. Postwar printing flubs: I am working on a Topps run of screwed up cards, ideally really screwed up, for all sports, at least some of the next card showing if it is a miscut. They're actually pretty hard to find, as Topps had strong quality control, but they are out there:
The best part of this quest is that with the emphasis on slabbed high grade I find my cards in dollar bins.
3. 1948-49 Leaf Errors: Leaf had to have the worst QC of the modern era. I mean, their sets just plain stink. I am working on an all-error boxing set.