Some of the popular questions (as suggested through meta):
Major Stackings asks How do the wand makers get the cores into the wands? One comment suggests that secret is in using molten wood.
sarge_smith noticed that troopers go in, but nobody comes out in his question: Where’d those guys on the Millenium Falcon go?
CL4PTR4P asked Why is Janeway an Admiral and not Picard?
Some of the popular answers:
How many crewmen/women die in the original series of Star Trek? answered by Thaddeus
Why did Boromir take so long to reach Rivendell? answered by Daniel Roseman
Lost Star Wars fan-made video answered by Solemnity
Just some interesting stats:
The most controversial question (asked by Sachin Shekhar) was: How big is the Matrix?
The most viewed question (asked by Matrim Cauthon) by a significant margin was: A Memory of Light Question on the Epilogue
The question which got the highest score (asked by KennyPeanuts) was: Why was Scrooge chosen for redemption?
The question which got the highest voted answer (asked by Kevin Howell) was: What are Gandalf’s powers?