I have the Sizzix Big Shot Express. That is the electric one. It uses all dies (accuquilt too) as long as the dies are less than 6 inches wide. The Big Shot uses the same size. The Go Baby dies will work on it.
The Big Shot Pro will use the bigger accuquilt dies, and of course, the sizzix dies.
Sizzix makes a quilter's specific cutter that will use all dies, called the Winchester.
None of the Sizzix products come with dies, but they do have the cutting mats with the machine.