The Fender Performer P/J is a great one. At least the 2 that I've noodled on were.
I almost purchased a Performer Series Jazz before I snagged my Player Series Jazz. The Performer was definitely a nicer feeling/sounding instrument, IMO, but the Player Series was hitting way above its price range to my ears and hands, too. Went with the Player, but if cash weren't a factor, I would've gotten the Performer, for sure.
I'd second the Yamaha BB Series basses, too. Great sounds and values, comfy, and around your price range.