Maybe I missed it, but in all of these great suggestions nobody mentioned the Kenny Clarke/Francy Boland Big Band or CBBB as often referred by. This was a band several years ahead of their time and many of their recordings have been reissued in CD format. "Now Hear Our Meanin'", "Handle With Care", "Jazz is Universal". Mostly European players who matched their American counterparts.
Also check out the Clayton-Hamilton Jazz Orchestra.
Also check out the Clayton-Hamilton Jazz Orchestra.