This isn't one of them; just a serial port from the heroic age; before they dwindled in size, pin count, and often voltage; but there is at least one exception.
Microcom made the "Deskporte Fast" modem that(in addition to offering a serial port for communicating with normal operating systems) could be used with a parallel port and appropriate drivers; allegedly for higher speeds.
Here's an ad from late 1994-ish.
I think that Compaq devoured them, so you probably can't get your copy of the Parallel Port Interface: A Windows Communications Necessity whitepaper anymore; but such were the marvels of the Before Times.
It was mostly horrible; but for a mercifully brief time all sorts of things that never should have been connected to parallel ports were tried; since they were faster than serial if you bit banged hard enough; and way more common on low end IBM compatibles than SCSI. CD-ROM drives, ZIP disks, ethernet interfaces, scanners, all the world's copy protection dongles in a giant daisy chain of user hatred....