Like a regular analog hi-fi amp, but oriented towards digital I/O and processing.
The front would be pretty similar to a standard analog hi-fi amp except mostly one big touchscreen (higher-end models would have more physical controls, cuz those are expensive).
The back would have a few analog I/O ports (RCA for your analog tape decks and maybe CD player or whatever) but the focus would be on accepting digital inputs via USB so you could share hi-fi speakers among two or more computers, not to mention phono turntables with USB output.
(Side note: getting that low-level moving-coil phono cartridge input to the amp without picking up A/C buzzing was always a challenge; it suddenly occurs to me that just having an ADC on the turntable and sending the signal over digitally is actually extremely practical, and doesn't sacrifice any quality as long as the ADC is good quality.)
Yeah, I know, probably nobody except @Harena and me would have any use for such a device... (we currently route the analog outs from our PCs and laptop through an M-Audio Fast Track Ultra 8R, which works ok but the UX kinda sucks, in large part because of all the analog points-of-failure ...and I'd rather be using it for production.)