Are there any examples of coins whose counterfeit counterparts may be worth more than the real pieces?

I am certain that the answer is yes, but are there any examples?
Thanks.

SRL

If we're talking about old coins, then the counterfeits more valuable than the real coins are always going to be contemporary or at least older counterfeits/replicas, not the modern ones being turned out in China by the thousands.

Some of the contemporary Suceava counterfeits of Livonian solidi are, but I know nothing more about those I'm afraid.

In Hungary, during the Regency, contemporary counterfeits were made of the CuNi 50 fillér and silver 1 & 2 pengő. These counterfeits are usually made of tin or lead, and if they are in a nice condition (not corroded or damaged), they worth more than the original pieces.

Most of the evasion pennies are worth more than the pennies of the time.