Just done a google, and there's a few UK based C type replica manufacturers. Can't think they're off JLRs radar as it only took seconds to find at least three.

CJR Replicas
Nostalgia Cars
Proteus Cars

1972 4/4 4 seater, 1981 MGB GT
1984 Harley Davidson Electra Glide, 1990 Kawasaki ZX10