Well, to answer my own question....
Some acoustic models that I know of:
Martin D-28 copies
CE 200, 250, 300, 400, 500, 600, 1000, 1400
TCE 30
Gibson copies:
J200 Jumbo
Hummingbird 7656
From what I gather, around 1972, a Tokai representative went to the Martin factories to study their production techniques as they made a deal with each other. From what I've heard, every one of the models, including the lower ones, are excellent not only for the price, but pretty comparable to actual Martin's.
I believe that the CE200s were finished with poly... they're also all laminate tops. The CE250s and 300s were also laminate tops, but I believe were finished in nitro (based on oxidation on the finish I've seen which only occurs on nitro finishes?)
In 1983, they introduced the TCE30 model for only a year, which is the same price as the CE300, but it has a solid spruce top.
Not entirely sure about all of this; asked a japanese ebayer who's sold multiple Cat's Eyes.
He has listed a way to read serial #'s too for a CE250:
Made in 1981, Serial 2516901.(25 for CE250, 1 for 81, 6901 is production number)
From what I gather, not all the acoustics were set up to read like this though.
To quote CheShireCatSmile on serial:
"I have a CE600 and I think there were higher end models above. The model labelling doesn't remain consistent either--newer models have an entirely different model system, and there are some quite high end recent models as well.
Dating these is a bit confusing--I've read conflicting things (first 2 digits, or last 2 digits of serial for date), that would make mine either a 1976 or a 1984 model. The headstock on mine (all caps CAT'S EYES) doesn't seem to appear anywhere around 1984 in catalogues, so I would guess earlier. I'm not sure if my CE600 is an "exact" Martin copy, but it sure is a nice guitar--I'll try to take some photos and post."
Again, I'm not entirely sure about much of this... so please feel free to correct me or add to this.