Obviously these can be found in high grade being more modern but here's some 70's and 80's cards:
Baseball:
78 Molitor/Trammell in high grades. Smudge alert.
84 Mattingly Donruss. Centering, print spots.
84 Joe Carter Donruss. Centering, print spots.
77 Topps Dale Murphy. Centering, tilt.
79 Topps Ozzie Smith. Tilt, centering, spots, focus, everything
a few from other sports off the top of my head:
86 Topps football Steve Young. Centering.
84/85 Star Co. Michael Jordan XRC. I don't think a real one that's centered exists.
78 OPC Hockey Mike Bossy. Centering nightmare.
81 OPC Hockey Paul Coffey. Centering, tilt, miscuts, snow. Majority have one or more of those issues.
edit: Joe Carter , Don Mattingly and Dale Murphy are not a HOFers, my bad...LOL
Those are a few I've dealt with through the years that stand out.