I really like the Battlecruiser's "I lost my hat. Swing around, we'll pick it up."
While the "click-click-click" dialog is hardly an "easter egg", it is a rather old reference.
More precisely the first Hot Shots movie, where admiral Benson loses his hat and wants the entire aircraft carrier to swing around to pick it up.
(In the end, he settles for leaving a crewman in a rowboat to mark the spot, so they can pick it up on the way back.

)
I was really expecting it to have a "Ya rly" though. Since it keeps going "Oh really?" all the time.