Check out the Squier Classic Vibe series basses - 50s Precisions and 60s Jazz Basses - Squier's top of the line range at the moment - some people prefer the Classic Vibe basses to the Mexican made Fenders...
Good luck and get funky...
Greg S.
This.
I sold my 1983 Fender '62 Reissue Precision bass last year. I was no longer playing in a blues band and had no plans to do so in the future. I bought a used Squier (by Fender) Made in China 20th Anniversary P-Bass and a Made in Indonesia Jazz bass. I've read that the MII basses are made in the Cort factory in Indonesia.
The MIC P-Bass had enclosed tuners but stayed in tune okay though. I had a set of Schaller tuners which I picked up for half price ($55 CAN/US) ten years ago and installed them. I had to enlarge the holes to 5/8" (16mm?). When I went to install them, I realized that the Schallers were for a two-per-side bass - not a four-on-the-same-side bass like a P-Bass or Jazz bass. I have them on but they're not evenly spaced. Looks a little odd but oh well....too late now, lol.
The Squier Jazz bass has open tuners and, like the P-Bass, is excellent value for the money.
The body and neck on these basses are as good as the Made in USA '62 Reissue that I sold. The pickups are of a lower quality but it's a simple matter to upgrade pickups and pots (tone and volume controls).
When buying a bass, make sure the grain of the wood runs from the neck right up through the headstock. I had a Yamaha BB300 P-Bass clone (a fine bass, by the way, if you can find one). I leaned it against the wall momentarily and it fell over. The wood grain did not run up into the headstock and it snapped off. I had to make a new headstock and scarf it to the neck. So, check out the wood grain.
My nephew has a Warwick Thumb Bass. Now that's a bass but I can't justify buying one just for home use.
Yamahas are great value for the money. I'd go for something a little better than an entry-level model though.