With $1000 a lot of very good second hand instruments are available to you such as Musicman Stingray, Warwick, Fender Deluxe, Lakland...to give you an idea.
If you prefer brand new the world is your oyster for that budget. I particularly like the MTD Heir, Ibanez SR505, Spector Legend, Lakland Skyline 55-01, Conklin GT-5, Godin Freeway (Leaftop), Yamaha BB145.
Any of those basses are great value for money for $1000 or under.