Alice and Ape III are the fourth opponents encountered in the Arm Wrestling arcade game, a spin-off of the Punch-Out!! series and this is their only appearance in any other games. This also technically makes Alice the only female opponent in a Punch-Out!!-related game, as even though the player character is physically wrestling with Ape III, Alice is the one in control.
Arm Wrestling
The little girl Alice is "good friends" with the Ape III robot, controlling him via remote while the mechanical primate grapples with the player. When in danger of losing, Alice has Ape III cheat by grabbing a magnet from off-screen to pull his metallic arm back to the other side and pin the player. The player can take the magnet, however, and use it to dislodge Ape III's arm in order to win.
The player wrestles Ape III.