'80s (84-89, I'm pretty sure) Japanese Fender 'Jazz Bass Special' (really a P bass with a J neck and P/J pickups). They play and sound WAY better than similar American Fenders (I hate it, but that doesn't make it any less true), have a unique TBX tone control (I think it's just like a sweeping passive high/low-pass filter kinda deal, whatever it is, it sounds fantabulous) and a non-standard Fender pickup set with bigger polepieces than normal. They get a really good burpy 'Jaco' kinda thing from the bridge J and an even better honky, FAT 'Geezer Butler' thing from the P, equally easily and with a lot of things in between.
Duff from Guns N Roses probably most famously played them, and I have one fretted and one fretless (both with Warmoth Dinky J bodies- I've never cared for the look of a P-bass, particularly with no pickguard). They're absolutely awesome, kinda cool and vintage, and damn nice ones can be had for 500-800 semolians.
I've never played or heard a P/J at anywhere near that price that could come close to them. In fact, the new EBMM Caprice (not REALLY a P/J) is the only mass-produced P/J I've really ever heard or played that I liked better, and that's probably because I'm a Music Man FREAK and they sound like a passive Music Man.
I'm fairly sure Fender made a 'Duff McKagen Signature P bass' that in theory should be the same thing, and I'm fairly sure they were Mexican and therefore probably even cheaper, but I can't recommend one as I don't know for sure that it's as good sonically and can virtually guarantee it doesn't play as well. Fender Japan also made an active version called, I believe, a Precision Bass Power or Jazz Bass Special Power alongside the Jass Bass Special.
I've played the Standard and American equivalent basses, the JBS is indeed 'special', they're not even in the same ballpark.