I recently bought a beat-up Fender Precision MIM and it is a decent bass.
I've also got one I made from parts, including a MIM neck, Badass bridge, a drop-D tuner and Fender USA pickups - it is really good.
And then there's my Frankenstein P.
I've no hankering for any more Precisions, because I'm happy with those (and I never intended to get any to start with!), but if I were I'd be looking at either:
Sandberg; I had a go on a couple of theirs at the Brum show and they were rather good.
The Geezer Butler pickups - he endorses Lakland (though I'm not struck on the look of their rounded bridges).