This is a multipart question,It may have been covered already,but if you know the links to the threads to save me time. ;D
Omori - Equivalents among brands
Shakespeare- Copies with worm gear/ball bearing
Daiwa-Reels that have worm gear/ball bearing
I've seen some Shakespeare Sigma spinners labeled as Hurricane and I seem to recall some other retailer-specific private label versions. I have to imagine Omori built them but I don't recall ever seeing a reel in the US market at least with any Omori labeling on it.
Shakespeare private labels are easy, there is a thread in the Shakespeare section about that. Daiwa, I wouldn't have a clue. I just look for raised letters on the shell as a sign that Daiwa might have built it.
I have a few Compac reels
caveman simple-not much plastic to fall apart
Ya wanna have some fun, start looking for Herter's reels...they sold private labels from DAM, Point, H-I, no telling who else.
Omori didn't label any of their reels Omori. They mostly made reels labeled for different/various companies. Omori's major self promoted reels were the Diamond series (labled) reels.
A simple Omori Seisakusho search will reference a lot of companies they made reels for.