Smithers: I've got to find a replacement who won't outshine me. Perhaps if I search the employee evaluations for the word "incompetent." 714 names! Ha, better be more specific. "Lazy, clumsy, dimwitted, monstrously ugly." [The computer again displays 714 matches.] Ah, nuts to this. I'll just go get Homer Simpson.
Mr. Burns: Must call Smithers. He'll protect me from this beast. I've seen people activate this machine a thousand times. Doesn't seem to be any trick to it. Let's see, Smithers [begins dialing], S-M-I-T-H-E-R-S. Success, it's ringing!
Moe: Moe's Tavern.
Mr. Burns: I'm looking for a Mr. Smithers. First name: Waylon
Moe: Oh, so you're looking for a Mr. Smithers, eh? First name Waylon, is it? Listen to me, you! When I catch you I'm gonna pull out your eyes and shove 'em down your pants, so you can watch me kick the crap out of you! Okay!? Then I'm gonna use your tongue to paint my boat!
Answer: Willy referred to an encounter he believed he had with actual aliens, while Wiggum thought he was referring to the arcade game.