My brother recently got a 3D printer which caused me to get online and see what sort of things he might be able to manufacture. My search resulted in a few interesting business card related gadgets.
How about a braille business card writer? This simple device will allow you to easily emboss any business card sized piece of paper with your company contact details in braille, making you instantly ADA compliant, and delighting your visually impaired friends and business associates. As a former president of the Chicago Uptown Lions Club I found this device particularly interesting. It is probably one of the more complicated devices I found but also one of the most innovative. Likely not a good choice for your first project however you might want to check this out then “press” it into service.

https://pinshape.com/items/34568-3d-printed-braille-business-card-writer
I was able to find plans for a few different business card holders. This first one is basically a small business card sized box with an opening on one side for easily getting ahold of the cards. Kind of like a little recycle bin. It also has a small channel on the rim where you can slide in your card for display.
https://pinshape.com/items/64798-3d-printed-business-card-holder
The next desk accessory was an attractive negative space cup-like design for holding pens, pencils, letter openers, plastic sporks, an extra pair of reading glasses or whatever. The base has molded slots specifically designed for holding various digital media storage devices like portable USB flash drives and also SD cards. On the side is a rectangular space for business cards.

https://pinshape.com/items/38602-3d-printed-businesscardpenusbsdmicrosd-holder
The last of my list is the most simple design, utilizing the least amount of plastic material. Basically a kind of wire-frame that allows you to display about 20 cards upright in a traditional manner where they can be easily viewed and offered. The plans include a vertical as well as horizontal display option.
https://pinshape.com/items/32686-3d-printed-business-card-holders
Look around a let me know if you find anything else of if you try printing one of these options.
We are happy to announce that our popular business networking book has been included in a new Do-It-Yourself marketing package.
Chocolate Graphics 
As always your business card represents you and carries the message and image of your company along with your important contact information. It is not intended to be kept forever. The important goal is that you make a favorable impression that will encourage the recipient to want to do business with you or learn more about your company. Once that goal is achieved why shouldn’t they eat your card? Chocolate business cards are the ultimate recyclable business card and yummy too. 

I am not sure what they use on other planets but this is probably called the Universal Business Card Holder because it is the most ubiquitous business card holder on Earth.
This is why I really love this item. First of all you can use a standard catalog page or sell sheet as the sign or primary message. If you do not have a catalog page or sell sheet you can create something in your favorite DTP program. The advertising medium is slipped through a slot on the side that sandwiches the sign and holds it in place. This is all pretty standard so far. The part I love is the built-in business card holder – – that’s because standard sign holders require that the reader of your message remember the pertinent information or have the presence of mind to make a note. This sign with the business card holder means you can make your business card available, thus drastically improving the possibility of a prospective client taking action.