The Geddy Lee Jazz bass is my jam, and has what I like a bass to have:
Relatively light
A thin maple neck
Painted (!) block inlays
Fender custom shop 65' pickups
Passive (I don't believe in depending on having a 9v in the instrument)
High mass bridge
NOT string-thru (basses use these really thick unbendy strings)
Things it doesn't have that I would want:
satin finish neck
zero fret
built-in Schaller strap locks, i guess
The thing is, the Geddy neck often needs adjusting + truss rod access is at the heel of the neck. You have to remove the neck to adjust it! I'm against that.
In bass, there is a problem with "neck dive" where the neck is too heavy for the body, because the tuners and strings weigh a lot. The Ged doesn't suffer that, but just in case, I think lightweight tuners are a good idea.
In fact I love a headless neck where the tuners are at your right hand.
And then there are the electric uprights...
But all that said, right now, I am actually in need of a bass with a single P-bass pickup to get the 60s Precision bass sound.