For the GCxGC instrument, LECO checks out computer models to be sure they are compatible with the MS system - sticking with the approved list is safest.
For data processing away from the instrument, you don't have the MS system in the picture, so commnuication with the MS is not an issue. You need to be able to handle the graphics display and peak tables. In work that I have done with thousands of peak slices, it appears that the bottleneck has been access to the peak table. If you can get a good disk controller, it helps. And, if you are going to use scripts like those published in J. Chrom. A for filtering for compund classes, more processer speed and backplane speed can be helful. (For relatively simple scripts, you probably will not notice processing time.)
I've run ChromaTOF software for the Pegaus on a HP Pavilion dv9000 laptop for several years. (ChromaTOF for the high resolution TOF needs more computer than my dv9000 has to offer. I guess time for a new computer... )