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You can get PCMCIA to USB adapters to read PCMCIA memory cards (I had one myself, a number of years ago), but I think you'd be hard pressed to find USB converters for everything else that used to be done through PCMCIA.
Perhaps the stupidest but most effective solution would be to stick an old laptop that has a PCMCIA slot in the middle.
It could be duct-taped to the modern box.
I wanna be a eunuchs developer! Pass me a bread knife!
Well it's some test gear that uses a PCMCIA Bus to talk to a 25 Way serial port, I think, now the issue I think is how to communicate between PCMCIA and the real world. Another lesson use the latest port to ensure continued support, I think not! If only they had the foresight to use the serial port on the PIC...
You used to be able to get PCMCIA expansion cards for desktop machines. It's a little inconvenient for most of them since the slot ends up at the rear of the machine (though I have seen some with a separate drive bay adapter to plug the card into).
I doubt you can find them easily new now - but perhaps on e-bay.
PCMCIA was the organization that defined the interface (Personal Computer Memory Card International Association). The interface became better known as PC Card.
you can find PC Card readers on Amazon and there is a useful set of links on the Wiki page https://en.wikipedia.org/wiki/PC_Card