I've read a lot of fans call the 90's resurgence of prog as part of the "Third Wave", which references the fact that 80's Neo-Prog was the 2nd wave (Marillion, IQ, etc. etc.), and that the "Third Wave" brought about a lot of non-British prog bands, mostly from the US and other parts of Europe.
As for bands that debuts in the 2000's, I guess they could be called "Fourth Wave", and anything in the 2010's to now would be "Fifth Wave"?
-Marc.