You can find a few Omegas at or around $1,000.
There are a number of Hamiltons under $1000... most all Tissot's are under $1000.
Seiko is your best bet at the low-mid range. I like that I can get 3-4 Seikos that I really like for the price of an entry level Omega/Tag.
My favorite style of watch is the Rolex Submariner. Now I'm not going to pay $7000 (yet) for the Sub I want, but I did pick up a Seiko SKX031 diver. Similar in look and I swapped the cheap folded bracelet out for a Seiko Grand Oyster (solid links) bracelet. Though right now it's sitting on a MARATAC khaki strap for a bit of a summer style.