Hi
I love DD turntables and have owned most of the great/legendary Japanese DD tables of the 70's and 80's. At $1000.00, you've got a healthy budget IF you know what to look for. Unfortunately, most of the tables that have been recommended to you are selling for far more than your budget. But, there are some excellent tables that you can acquire at your budget that people don't really know about or dismiss. Here's a small list you should keep your eyes open for:
Kenwood KD-990: This is a fantastic table that can compete with most of the best Denon's, Pioneer's and JVC/Victors that others have mentioned. This is a totally integrated deck that features a unique and effective plinth design that you don't see until you start spending serious bucks. Google it, and you'll see what I mean. Dudes in Japan know all about this table and have installed additional arms of great value and collectibility to the other posts of the table. These guys are on to something with this table, because no one puts a $3000.00 Audiocraft or Fidelity Research arm on a table that isn't up to snuff.
Kenwood KD-750: This table is a bit more well-known here in the states. It looks a lot like the KD-990 I mentioned above, and ships with a good tonearm that was designed by Kenwood and built for them by Jelco. Unlike the KD-990, the 750's arm can be easily removed and replaced with a better arm, which I did when I installed the Audio Technica AT-1010. That arm took an already excellent table to a whole other level and it will easily best the new Technics SL-1200G, which is a $4000.00 table. While the Technics spins with measurably (if not audibly) greater accuracy, an the Technics arm is pretty good in spite of what the haters say, the AT-1010 is simply superior and competes with arms like the FR-64 and the Audiocraft AC-3000.
Sony PS-8750: This table is the 3rd best table Sony ever made, and that's saying something. Fantastic motor, dead silent, smooth and ships with the Sony PUA-1600 tonearm, which uses a combination of aluminum and carbon fiber. Even the head shell is a fully realized design, also being "carbon-clad". The arm also uses a sapphire bearing, and with the right medium compliance cartridge can sound amazingly good. 9" and 12' versions of the PUA-1600 are often found selling by themselves for $600.00 or more dollars, and our friends in Asia often times place this arm on other tables from other manufacturers, which is high praise.
Luxman PD-441: The little brother of the renown PD-444 (which I own and won't sell), this table is a bit of a reach at $1000.00, but you could get lucky and find one at or around that price, and probably with a damned good arm on it. These tables usually shipped without arms, so the end user had to source one themselves, and that typically meant that a damned good tonearm would be used.
Yamaha GT-750: The little brother of the GT-2000 (which I also owned), there still is a lot of the same DNA between the tables, including an excellent and ridiculously underrated 12" transcription tonearm. You have to look on Japanese sites like HiFiDo, but they've usually got them and in good shape.
Some of the things that all of these decks I described have in common are the following: relaxed yet dynamic presentation, excellent pitch, low noise floor and REMOVABLE HEAD SHELLS! Others like to have hysterical arguments about head shells. I prefer to leave the dogmatic to their dogma and listen for myself. Believe me, there are awesome head shells out there that can seriously maximize the performance of any of these tables/arms, and you can quickly and easily swap multiple carts as compared to a uni-body tonearm.
Anyway, good luck in your search.