Eric Cartman

Eric Cartman of South Park is an incredibly sociopathic case of a bully for comedic media, but still routinely presented as an utter wimp in the face of physical assault. In one episode, he repeatedly threatens to beat up Kyle. After Kyle relents to a fight and reluctantly taps him on the cheek, he's left bawling indignantly for a lengthy amount of time.

Example of:
Thin-Skinned Bully