The CRE 2 stroke bikes were built by
HM and were modified CR motocrossers. In fact, it would appear they still make a honda 125 2 stroke of some sort. I think the honda David Knight is now riding is a HM, albeit a four stroke CRF derived one.
The CRM was Japan only, so far as I know. The model line culminated in the development of AR, which used pre- ignition to make a cleaner, torquey and more efficient motor. The development work was done around the EXP-2 Dakar bike, which did well.
The production trailbike looked like this. There are some homebuilt specials around, where the CRM motor was fitted to the superior CR / CRF rolling chassis
Then honda decided to give away all their two stroke business to Europe, and consequently stroker enthusiasts in the know are riding Gas Gas