4 basses that I use, 2 that I have gigged with. My #1 is a Franklin Fretless fender p-bass. It has a really good feel, and just plain looks cool and when I add some fuzz to it, you might not even know that I'm playing a fretless. Next is a Music Man fretless (there's a pattern here, you'll see!), which has active pick-ups, and can really cut through. I tend to use it in drop D situations a lot. These are the two that I have gigged with.
After that, my latest that is quickly gaining steam, is my first 5 string, a Ken Smith custom fretless. I am getting used to all the muting technique that comes with extra strings, and am gaining confidence for a live debut. And finally, a 4-string Supro short-scale fretless, that can sound really punchy with the piezo pick-up turned on.
So, all 4 do get used. And no, I am not obsessed with fretless, why do you ask?