The Yamahas are great. Also look into Fender's Reggie Hamilton Standard. It has active/passive operation, and U.S. pickups including a noiseless J. It's one of Fender's best values IMO, and a versatile, great-sounding bass.
My personal fave is G&L's SB-2, which is available in the import Tribute line, and produces the most heavy-duty split-coil tone imaginable. (I have the USA model.) But if you like to solo the bridge pickup, it's not the best choice, because that pickup is designed more like a tone control. Fender's Frank Bello sig is similar to the SB-2 -- high output split-coil, with no tone control -- but the J pickup is noiseless, which is a plus IMO.
That's for P/J. For straight P basses, I think Fender's new American Specials are around your price, and would be a good bet. The recent MIM Standards are good too, and if you try a bunch you might find a really great one.