There have been many attempts with the 13B. One I saw it all worked, except the exhaust system. Builder went through everything, built 3 or 4 of them. The last was made out of titanium welded by guys who worked for a defense contractor.
Failed in flight like the rest of them. He ended up with a lycoming.
In a similar way, there are kit planes which use EJ and EA series Subaru engines. These tend to be a bit more fuel efficient than Mazda rotaries though.
