I don't mean to just add a +1 to this, but so far there has only been one selection of basses that I have preferred to my Stingray and Thumb, and they have all been Overwater Jazz basses. Standard Fenders don't really do it for me, and I am unsure as to whether my Shuker will be able to fulfil that lust either (I don't currently know, because when I got it (second hand) the front pickup wasn't working, and the neck was poorly set-up).
But even when I know how much I love those basses, I still get a proper smile when I pick up either of my basses, because they sound beautiful!