I had a Jaguar bass for a while - it has the same neck dimensions as the Geddy Lee Jazz, should you fancy a different body shape option. Also the Precision Lyte has a similarly shallow and narrow neck. Both are smaller than a standard Jazz neck.
A good many Peaveys have very shallow and slim necks, some I believe are top quality instruments. If you can find one, a Peavey Fury has a similarly shallow and slim neck, but with a P-Bass configuration. I tracked one down courtesy of Flat Eric and it is lovely. Inexpensive to buy but really nice quality instrument