Jar-Jar Binks in Star Wars Episode I (as in many other works). Most notable in the "Jar Jar Juggling" mode, where the player is rewarded for tripping the Gungam while he's trying to juggle various objects.
Bigfoot in White Water. Particularly during the "Bigfoot Hotfoot" mode, where you can distract him and get into his cave for rewards.
The Pinball itself in every pinball game ever. You smack the poor thing around. What if your whole existence was to be smacked around painfully for a higher being's entertainment?!