I had a similar issue after I swapped the intake manifold & power steering pump from a 1999 Jeep to my '95. When accelerating quickly (onto the freeway for instance) it would stall. I would pull over and it would restart fine. After sticking my head back under the hood, I figured it out: Since the intake manifold was different, the vacuum fittings were different also. When I checked the engine codes, it was giving an error about the MAP sensor input. One of the vacuum hoses were not tight. I also found that the vacuum line going to the FPR at the front of the engine was contributing so I took it off and all has been well since then.
Bottom line: troubleshoot your vacuum lines and the things they connect to/from. If it's stalling when you punch the gas, it points to fuel pressure but your symptoms also point to a vacuum leak.