There are a few that have a built-in microphone. As with built-in microphones on cassette records, I don't know if there might be some motor noise picked up.

I know on my Sony recorders, they turn on the motor every once in a while as it is recording and it shuts off for a minute or two. IF the microphone is at all sensitive I think it might pick something up you don't want.

Have a look at

Minidisc.org's Equipment Browser.

They have many models from a lot of different manufacturers listed.