Pixel shift SOOC: at least some Ricoh DSLRs do this (so long as you're OK with JPEG). Those are *great* cameras, BTW
Lens correction SOOC: Nikon DSLRs do this with Nikon/Nikkor lenses all the way back to the film era AI series (again, so long as you're OK with JPEG). As they're also a lens company not for 3rd party lenses. The lens sends an ID - and on the mid to higher end models you can manually tell it which lens is mounted. Oddly enough even the film era 'D' series lenses do this (well before there were SOOC JPEGs). Don't have any AI lenses so not 100% sure on those, but it's been mentioned in forums.
As a raw-only shooter I don't track this - or anything that only outputs JPEGs, but I'm pretty sure there are some Nikon picture controls that convert from negatives, although maybe not from Nikon (there are a lot of them out there). I've run all the negatives I really care about through drum scanners so haven't tracked this either. Although, I have to wonder how you'd deal with dust. That long processing time in that scanner app is *probably*(?) attempting to mitigate both dust and microfocus (and maybe even spherical vs flat focus plane?) issues.
Merry Xmas! Hope you got what you wanted under the tree!