I believe the differences are the following (but my knowledge is incomplete):
All DC HBs were based on the original McCarty.
HBI has a Mahogany back. Originally no piezo.
HBII has a Maple top and Maple back. Most seem to have a piezo, not sure if that was the case originally
They later started doing SC HB versions. Can be either a HBI or HBII.
The way the bodies are hollowed out have changed. I don’t remember the details, but Tag had some detailed threads/posts about it and the rather significant tonal changes.
Archtop is much thicker body and typically came with a spruce top and a Mahogany back. I think? Could be a maple back? Also seen Archtops with Maple tops.
There was for a time the Paul Jackson version the JA 15. More of a classic Jumbo style SC Archtop with a spruce top, maple neck. Again, not sure if the back was Mahogany or Maple.
Limited run of thinline SC-J which was maple top and back, maple neck.
All I got!
Hopefully not too many inaccuracies