I know this is a weird topic, but some games (like Shin Megami Tensei: Digital Devil Saga 2 for the PS2) have cover inserts that have full cover graphics on both sides which can be reversed. They're different from inserts that simply have additional graphics and product information on the inside that show through a clear game case. Some people may never even realize with games like Digital Devil Saga 2 because PS2 game cases are opaque and you'd have to remove the insert to know.
Anyway, I'm curious how many games have these. I only ones I know of are:
Shin Megami Tensei: Digital Devil Saga 2 (PS2)
The Ico & Shadow of the Colossus Collection (PS3)
The latter may not count since it doesn't have the PS3 header and spine graphics with the PS3 logo, but it's an otherwise a full graphic cover.