I am looking for a company that is in the business of reproducing old VCT/VAT tiles. Meaning they make new tile to order, to match a pattern/color I provide.
Now, how much of this tile might you need? The big problem I can see looming on the horizon is that the cost of making small quantities of custom VCT tile would be prohibitively expensive.
I'd go to Amtico, Armstrong, Azrock, Mannington and Tarkett's web sites and e-mail their customer service departments to ask if they're aware of any company that does small custom runs of 9X9 or 12X12 floor tiles. I have never heard of a company that does that, and I expect it's because the fixed costs of making tiles in a particular pattern would make small batches cost prohibitive.