The Elrick New Jazz Standard is another. Your choice of an unpainted-wood U.S.-made one, or painted Euro-made ones (the latter of which I own one of: a white '09).
The Expat's got the best neck I've ever played on. Period. And that includes (J-bass-ish models only here) a Modulus VJ, Zon Sonus, Pedulla Thunderbass and a Rapture, a Status (that one's borderline, but it does have a pair of single-coil soapbars), a couple actual Fenders (including a 24-fret '90 Jazz Bass Plus), and a Lakland JO4 with Aeros ...
Elrick, Sandberg, Status, Genz, Darkglass, Radial, Empress, TC Electronic, Zoom, Source Audio & Loop Master abuser
Helmets are for closers.