Here's my list so far. The criteria, really, is the basslines have to be in some way interesting (if they just sit at the bottom of the song playing the root of the chord in 1/4s, 1/8s or 1/16s, they're unlikely to be of any great interest to me), or particularly loud in the mix, or both. Although, my list, my rules. :-) Nevertheless, if you think I've missed anything, I'd be interested to know.
(Couldn't be bothered faffing around with embed codes, but there are Youtube links for all the songs. Some of them are just the song with the album art, so not much to write home about.)
The Church, My Little Problem One of my favourite bands, and as bassplayer and lead singer Steve Kilbey always seems to give himself some entertaining stuff to do. This is one of my favourites of theirs.
Queen, Radio Ga Ga Brilliant mix of John Deacon's live bass and programmed synth bass.
Fleetwood Mac, Tusk Weird song, weird bass. Pleasantly loud in the mix.
Fleetwood Mac, The Chain It's iconic, really, innit? (Yes, I just said "innit". It won't happen again...)
Phil Collins, Two Hearts So sue me, I like some Phil Collins music. This is brilliant. The bass just dances around the song, and is pleasantly loud too.
Pet Shop Boys, Always on my Mind/In my House Starts off as a mix with a totally different arrangement to the regular single version (and the bass seems to be rather bizarrely pitched wrt the rest of the song). Then after the "In my house" bridge section, the original mix comes crashing on, and from about 5m 50s onwards it's totally "everything but the kitchen sink," including the original bassline and this new one running side by side.
Orange Juice, Rip it Up Synth bassline again, but really again, something special about this, IMO.
So, yeah, anything else folks think I've missed? Might be something I don't know, or just something I don't even know. Don't be afraid to speak up!