Inspired by a hijack in This thread.
For me, it would be “How can I get my mashed potatoes really smooth?”
“Guess what I just ate”
Me too. 
How can I get a piece of this action?
“Should my car be making this noise?”
Name some librarians in TV shows.
What’s a word you’ve never heard before?
Mel Gibson Movies.
“Pickup stuck in the field-ideas for getting it out?”
How fast can you recite the Greek alphabet?
Who was that goalie drafted 113th overall by the Minnesota North Stars in the 1990 NHL Entry Draft?
“Babble, burble, banter, bicker
Brouhaha, boulderdash, ballyhoo
Its only talk”
Does it have to be in the form of a question?
“Give a word from a King Crimson song.”
How would you abbreviate the name of a character in an Andrew Lloyd Webber-Jim Steinman musical?
There’s really gonna be a lot of responses to that one.
Where do I get off the Garden State Parkway to get to the shore?
Really any question that boiled down to driving directions and highways.
A lot of questions about the American invasion of Iraq might be pretty relevant, too.
“What’s your favorite style of sci-fi writing?”
Was Mulder really right?
So I just baught a mine, what do I do next?
What musical numbers from kids’ shows would sound great as a punk rock cover?