I prefer the aesthetic of being caseless so I always go with one that basically disappears. This has led me down the path with skins and ultra thin cases for years and for the 12 mini I've settled on one of these $8
TOZO cases. Skins look bad (I'm not the best at applying them) and the edges eventually peel up or start to get lint and dirt stuck to them.
The case is ultra thin. It protects the back and side from small abrasions without adding really anything to the phone. And if I tear it getting it on or off I just have a backup around since it was half the price of similar ones. The white case on the mint phone looks great, no significant color change, adding a nice frosty effect.