I can vouch for Sadowsky and Lull Jazz basses. IMO they're just a class above all other J basses I've tried. Sadowsky now have the Satin series which is a lower cost NYC bass. Lower cost only because of the reduced options available. They also have the new Metro Express range which is their first factory bass and made in Japan.
You could check out Moon, Moollon, Atelier, Suhr, Low End and all the European basses, the list is endless. Everyone's got a J bass in their catalogue.