Philip Jones Brass Ensemble (not the best version in my view, but OK), available on their compilation The Lighter Side
Summit Brass - Summit Brass Delights (haven't heard it, but might be worth a try? Midland CD Club would be a good place to get it from)
Best recording I've heard is, I believe sadly now deleted. It was on the Collins Classics label from the LSO Brass entitled (I think) American Brass or something like that. I believe it was Maurice Murphy playing the big trumpet solo in the Mambo and boy it makes the hairs on the back my neck stand up!
And Eric Crees also transcribed Bernstein's Prelude Fugue and Riffs, also on that CD, with the inclusion of Andrew Marriner on clarinet and a top sax section. Stupendous. If you can find the CD, it's worth getting!