The albums in question, broken down by box, are:

Rush
Fly By Night
Caress of Steel
2112
All the World's a Stage

A Farewell to Kings
Hemispheres
Permanent Waves
Moving Pictures
Exit...Stage Left

Signals
Grace Under Pressure
Power Windows
Hold Your Fire
A Show of Hands
Each box contains brand-new remasters of five albums, and a special surround sound DVD-Audio version of one album (Fly By Night in the first box, A Farewell to Kings in the second, and Signals in the third). Here's an interview with the mastering engineer who worked on them.
Now, here's the really exciting news: Universal Music has given us a set of these boxes to give away! All you have to do is email us at roadrunnerrecords@gmail.com and includ a photo of the oldest piece of Rush music or memorabilia in your collection. We'll announce the winner next week! (Note: Your email address will be provided to Universal Music when you enter.) Good luck!