I almost always am talking to ATC while flying. I've noticed over my flying career (so 10 years) that it seems more aircraft are omitting the aircraft type and just going with "November xxxx". Jets seem to do that more than prop jobs from what I can tell. I always go with "Twin Cessna six-two-zero-charlie-alpha." It seems the past few years it's been a lot more noticeable.
Likewise, I've heard more and more controllers go with "November xxxx" rather than reading back the aircraft type. I've also had a number of controllers get the aircraft type wrong, which is likely why. In the past couple weeks flying the 414 I've been called a Conquest and a Citation, which of course I am not. I've also been called a Chancellor which is technically also incorrect, since the Chancellor was the 414A. However both a tip tank 414 or a 414A (straight wing) file as C414, so the controller has no way of knowing which is which without asking (which only a few have bothered with).
When operating in foreign countries you're supposed to use November in the tail number, but that's another matter.