Many insurance companies will allow you to add your replica to your present policy. If not, there are a number of insurance agencies specializing in replicas. Look in issues of Kit Car Illustrated, Specialty Cars and related magazines for the latest offerings, plus search "insurance" in and When dealing with an insurance agent, say replica, not kit car. Some of them can't translate.

If you use a specialty insurer, there may be some restrictions to your use and the yearly mileage allowed. The cost, however, is usually quite reasonable. Some insurers will grant you a significant discount if your car has an on-board fire extinguisher in the engine compartment.  

The list that follows is not necessarily current, but most companies are active.

Also see the listings on Excite, Autopedia, Webcrawler, and Yahoo

 2022, Era Replica Automobiles