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The Boo in Peach's Castle in Super Mario 64 can be influenced from its adjacent rooms. Touching the wall in the Whomp's Fortress room will make it turn around, while coming in from the second floor and touching the wall in the Cool, Cool Mountain room will make it disappear.
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The Bob-omb next to the cannon on Bob-omb Battlefield in Super Mario 64 has unique behavior. It will ignore Mario until he kills it. Upon respawning, it will get caught on a ledge, oscillate and walk off the cliff, whereupon it will ignore Mario again if he approaches it.
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Addendum: as pointed out by reader @EleanorJayynes, there are also in fact Mario graphics used in the BIOS in another spot, the Wii Shop Channel download animation (seen below). I apologize for overlooking these and hope the icon in my post is still notable.
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