Replica
Replicas of C-Type, as well as E-Type, D-Type, and XKSS, D-Type's road version, are being built by British company Lynx Motors (actually by their subsidiary Proteus), although these cars are a modern pastiche on the original thing, having fuel injection, catalyst, a Mazda RX8 rear suspension and a modernised dashboard in view of safety requirements. "proper" replicas, with FIA papers, are still being built, but you have to look for them.
Read more about this topic: Jaguar C-Type