From the pictures I have seen of airline simulators, it looks like the range of motion is limited to somewhat level flight. Are there any flight simulators, possibly military trainers, that can do a complete barrel roll?
Pulseworks makes some full motion sims that are capable of inverted flight and infinite barrel rolls. These sims fall into the entertainment category more than the training category, but they are full motion, in cockpit sims. I have also been in a similar type of sim at a Harris/Boeing sponsored party in Seattle made by a company whose name I cannot remember that did the same thing. That one in fact was capable not only of rolls but also loops and could be pretty violent (I wanted to see if it would spin... it did).
Here's a video of one of the Pulseworks models. They have some at the Udvar-Hazy center at IAD (free admission, and a shuttle from the terminal). They cost a bit of money to get into. They are also often setup in pairs so you can go into a dogfighting scenario with the box next to you. Bring a friend.