I have a couple of different Lincoln Cents with obverse chips in *just* the right place....it seems somehow disrespectful to call attention to them, though.
How about a bicentennial Ike struck through a sheared off fragment of edge reeding, with the arc running nearly parallel to the crack in the Liberty Bell? https://www.cointalk.com/attachments/strange-ike-reverse-3-jpg.190242/