Nallo, you have opened the floodgates. I can talk about bass all freaking day.
Either that, or you could completely annihilate your brain at the TalkBass forums too. I post on TalkBass.
Anyway, my take:
What's your budget? What styles of music are you playing? 4 or 5 string? What kind of amp are you playing through? Would you consider something else other than Fender if your budget allowed? I ask the last question, because QC at Fender is a tad spotty (even some US ones play like dogs) and you'd have to play through a shitload of Fender basses to find a really good one, especially if you go for a MIM (Made in Mexico) one.
I think the absolute best Fenders for the price available right now are the Geddy Lee Jazz Bass, the Jaguar Bass, and the Aerodyne (all of which are CIJ- crafted in Japan.) The Geddy Lee has a slimmer neck than a standard Jazz, though (but it's nowere near as skinny as, say, that of an Ibanez Soundgear.) The Jazz Bass 24's rather nice too.
(When you go to the Fender website and click on the basses, if the model number starts with 013, it's made in Mexico. If it starts with 025 it's Japan. 019 is US. 015 is Custom Shop. 026 is Korea.)
I'm not really a Fender guy (I play a Warwick), but I think the Lakland Skyline basses are the best Fender style basses available at the affordable price point. Their quality control is super consistent. My personal favorite is the Donald Duck Dunn sig model (P-bass with a J neck. The Lindy Fralin pickup used in that one and other sig models are sexy as hell.) In addition, Lakland's customer service is top notch; you may even get Dan Lakin himself when you call. http://www.lakland.com
Lakland's 5-strings are great too. IMO, Fender's 5-strings are terrible. Never played a Fender with a solid low B.
EDIT: And I'll punt this into the music forums.