Continuity mistake: When Nick is singing "Spend This Night with Me", he brings up a girl from the audience. Watch the background. When it shows another girl from the audience, in the next shot, you can see a speaker that wasn't there before. Moreover, when he picks the girl, we can see that there isn't anyone at her left side. But a few seconds earlier she was sitting between two girls (the one at her left was wearing a white shirt).
Revealing mistake: When Chocolate Mousse throws the anchor with the rope attached into the air, if you watch the ground when they run away, you can see that there's suddenly a lot more rope there, revealing that it was filmed in two takes and the anchor wasn't really thrown directly above their heads.
Nick Rivers: Hillary. That's an unusual name.
Hillary Flammond: It's a German name. It means 'she whose bosoms defy gravity'.
Nick Rivers: I'm pleased to meet you. My name's Nick.
Hillary Flammond: Nick? What does that mean?
Nick Rivers: Oh, nothing. My dad thought of it while he was shaving.
Doctor Flamond: You see, a year ago, I was close to perfecting the first magnetic desalinization process so revolutionary, it was capable of removing the salt from over 500 million gallons of seawater a day. Do you realize what that could mean to the starving nations of the earth?
Nick Rivers: Wow. They'd have enough salt to last forever.