It would be interesting to try to have actual registration so that the embossed design can interact with the printed copy rather that just being an arbitrary background decoration.
The way I understand your comment is you could have a scene or objects printed on a card, then line up an embossed design over the print to create depth or imprint specific areas of the print creating various effects. That would be interesting
also a tool that generates the emboss pattern based on the design of the card. so that for example a logo on the card gets embossed.
or the text in 3d, like credit cards used to be
I think that was not done by embossing but by "3d printing" on the business card directly.
I'm in Estonia, and my bank issues debit and credit cards that are definitely embossed.