Two concept cars from Jaguar – originally built more than three decades apart – have been accurately recreated by classic car experts, who plan to offer exact reproductions for sale.

The first is the mid-engined XJ13, a possible Le Mans contender built in the 1960s, while the second recreates 1999’s XK180, originally crafted to celebrate the 50th anniversary of the much-loved Jaguar XK120.

Both evocative recreations will be unveiled at the 2016 London Classic Car Show (ExCeL, 18-21 February) – the first time either will have been seen in public.

The original XJ13 was completed by Jaguar in 1966 and was powered by a prototype quad-cam 5.0-litre V12 engine. Just one car was completed and it claimed a UK speed record after racing driver David Hobbs lapped the banked MIRA test track at an average speed of more than 161 mph. Remarkably it held the record for 32 years.

It was later badly damaged in a high-speed crash, also at MIRA, but the rebuilt XJ13 – still owned by Jaguar – was rebodied and differs in a number of respects from the 1966 original.

Its swooping lines have been replicated before, but the version lovingly built by Building the Legend (www.xj13.eu) is unique because the company’s driving force, Neville Swales, is ensuring his recreation accurately reflects the original car… right down to the last rivet. It will be even be powered by one of the original six prototype quad cam V12 Jaguar engines.

“The project has been supported by surviving members of the original XJ13 Project Team and we have enjoyed the co-operation of Jaguar Heritage which has allowed us unfettered access to its archive. There is considerable international interest in the project and the London Classic Car Show will be the first time the general public will be able to see ­– and hear – the car,” said Swales.

As well as being on static display, the XJ13 will be driven along the Show’s unique Grand Avenue highway, hopefully by one of the original test drivers. In the passenger seat will be Mike Kimberley – the original XJ13 project manager.

Swales will also be showing the first customer car, which will be powered by a later SOHC V12 engine.

When Eric Fintelman stumbled across the story of the Jaguar XK180, he liked the car so much he decided to build one for himself. He bought a replica glass fibre body which he put onto a classic Jaguar XJS chassis, but he quickly realised the car was not an accurate recreation.

“It looked wrong… and I discovered the measurements were taken from a 1:18 model and scaled up,” he said.

He then decided to make his own recreation from scratch. Given access to Jaguar’s two existing prototypes he took photographs and exact measurements and then teamed up with Dutch company JePe Specials to reproduce a perfect aluminium-bodied XK180.

Like the original concept, the Jaguar XK180 reproduction by JePe Specials is based on XK8/XKR underpinnings and features a unique two-seat speedster body. The first recreation uses a XKR convertible chassis with a supercharged 4.0-litre V8 engine, though customers can specify an XK8 chassis and any engine if they prefer. Those seriously interested are invited to attend a special ‘guest hour’ being organised on Thursday evening at the London Classic Car Show by contacting sales@jepespecials.com