Billie uses a Boss Blues Driver and a Boss EQ pedal, both of which are dealt with off-stage by the guitar tech. There's also a channel switcher between the Dookie modded Marshall head and a clean head.
Jason has an MXR Phase 90 for BOBD, as well as a Gibson ES335 he has with an acoustic pickup, which runs through a Fishman acoustic pre-amp which is rack-mounted off-stage. He uses the acoustic simulator for BOBD, King For A Day, Jesus Of Suburbia and Minority. There's also a rack-mounted Chandler Little Devil Compressor which is just used for boosting during solos. Jason does have a few pedals on-stage, not sure what though beyond the wah.
For anyone who's really into this kind of stuff, I'd really, really recommend setting half an hour aside and watching this. I found it absolutely fascinating.
To get this back on track, because none of this has anything to do with Unpopular Opinions: The demo version of 99 Revolutions is one of the best things they've ever done.