Yes, the T-Max Reversal Kit works just fine with other B&W films, though you'll probably have to experimentally adjust the first developer time. The Foma reversal kit works the same way -- again, you'll have to adjust the first dev time to get the correct contrast, and you'll probably have to shoot a few test rolls to get exactly the right combination of EI and first dev in either case (typically you'll have a higher EI when reversing a B&W negative material).
For that matter, you can make your own bleach, use plain sodium sulfite solution as a clearing bath after the bleach, and otherwise do the job with the same chemicals you're used to using. Main thing is to make sure you don't have a halogenating bleach -- potassium ferricyanide (Farmer's Reducer) is a bad choice, because it converts the image silver to a halide that will expose in reversal and then develop in the second dev, giving a solid black film. Potassium Dichromate, potassium permanganate, and copper sulfate, all in a weak sulfuric acid solution, have been used successfully with reversal processes. All clear nicely in sodium sulfite solution, IIRC at 2% strength.