Currently
Korg DT-10 (tuner pedal)
an Ibanez CS-9 chorus
an Akai Unibass pedal (for octaves, fifths and filling in guitar parts live)
and an Akai Deep Impact (synth pedal)
Probably adding a Little Big Muff at some point in the very near future ... my fuzz box of choice ....
I have a small pedalboard which I sometimes use, comprising Ibanez CS-9 (80's); Boss PH-1r (80's), Maxon AF9 (newish) and EBS Octabass. I have flirted with various compressors, including Punch factory but seem to end up going without. Most gigs these days it's just a cord between the bass and the amp.
I use all solid state amps, so i warm up the tone a little with a Tube works bluetube pedal, not for distortion, just a wee tiny little bit of overdrive
Most of the time, I run without effects as well, but some parts in some songs just call for it.
Currently my favorite effects are the octaver (I just go the MXR bass octave from eBay which isn't made anymore either) and the Phase 90. The octaver is very useful to go deeper for the parts I used to play on the low B string, or just to have an incredible phat synthlike sound. The Phase 90 is just so... smooth and mellow... I love it for solo spots or more quite moments... PLUS the Phase 90 does not suck the low end as much as the T.C. Chorus.