Gray squirrels in my area will raid bird nests to feed on the eggs and young chicks. They also hunt and eat cicadas. They sometimes scavenge from animal carcasses and are known to gnaw on mammal bones (like from a dead deer) or even turtle shells for the calcium.

Chipmunks will catch and eat crickets, worms, and beetles as well as small reptiles or even frogs. Although I've not witnessed it, I bet they'd at least gnaw on animal bones for calcium.

However, I think hunting voles is kind of a bit more advanced / unique.