Well I suppose you could stay up for nights generating different emergencies or non-normals for your respective aircraft. Here are a couple of scenarios that have worked well in my past experience.
Engine failure while on a random routing at a FL above the NAT track, with a subsequent driftdown through and parallel to the existing NAT to a FL below 285 with a diversion to BKIF or EINN. This will take a realistic flight plan at the begining of the flight. The instructor can advance the aircraft along the flight planning so as not to take up to much idle time. You can throw a few simple non-normals in during time it takes to get to the engine failure. Cooridinate with your flight planning providor to create a realistic flight plan and of course the simulator needs to have a data base that will accomodate this type of scenario.
Don't know squat about the Falcon 2000 but fuel leaks can be simulated in such a manner that they are either in the tank itself, or out near the engine and these can be fairly subtle as well as confusing in their evaluations so as to call for the right checklist. Very educational to most pilots since the alternative actions can create significantly different out comes.
One for the CRM class that at least in our case generated signifcant issues that we had not thought of before was a medical diversion to an intermedeate European city. All the internal security issues and notifcations that had to be cooridinated with various IMPORTANT individuals brought out a lot of areas that perhaps we had not explored. This went way beyond just calling Med-Air and dealing with the medical problem at hand and followed through with aircraft repositioning, crew legality issues, and getting the medically challenged person back into our hands after having been sent to a hospital that was several hundred miles from the original destination. The whole process was very educational. Might not be in line with your type of operation but for us it could be a real possibility.
Hope this helps more than it hurts. Looking forward to other ideas since we are also exploring this issue.