Triumph Broadside drophead prototype
Survives

The TR7s with stories of their own, car by car: the works rally cars of Abingdon, some of which shared a number plate (license plate), the last TR7 built, the prototypes at Gaydon, the turbocharged car built for Le Mans, an estate and a prize car.
The best known of the works cars, side-on at Gaydon in August 2021: the TR7 V8 that took Pond and Gallagher to wins at Ypres and on the Manx in 1978.35mmMan, CC BY 2.0
The best-known TR7s were works rally cars, and they are known by their number plates. That is not quite safe. The TR Drivers Club's register of the works team lists 20 registrations, but at least five of them were carried by two different cars, and one plate was borrowed for a single rally from another car altogether. The cars below are listed car by car, with their plates, and the ones with most to tell have pages of their own.source 1source 2
The first two cars to rally, in 1976, were 16-valve coupés registered KDU 497N and KDU 498N, the second of them the car of the TR7's first two wins, both with Pond: the Raylor in October 1976 and, its first international victory, the Boucles de Spa of 1977. The 16-valve cars that followed carried OOE and OOM plates, and one of them, SCE 645S, was built by Safety Devices at Newmarket, the only works TR7 not built at Abingdon, the club records. OOM 512R went on as a V8 and gave the TR7 V8 its first win.
The SJW cars of 1978 began with SJW 533S, which has a TR7 Sprint's ACH chassis number: it ran its first rally with a 16-valve engine, became a V8 for the Welsh in May and was the first car painted in the red, white and blue. SJW 540S won Ypres and the Manx in 1978 and is at the British Motor Museum, Gaydon. Six cars were built with left-hand drive for continental drivers, from SJW 548S on; one of them, TUD 682T, carries a pre-production TR8's chassis number. HRW 251V was the last new works car built and used, and TUD 683T, the second car to carry that plate, won Ypres and the Manx in 1980.
Two more cars belong in the margins. Motor Sport's Jeremy Walton gives the V8's first test car, of October 1977, the plate KDU 496N, which is missing from the club's register. And BL's production table for 1977, as the TR Drivers Club reproduces it, includes seven TR7 V8 coupés for the home market, with a note that they were possibly rally cars.source 1source 3source 4source 5source 6source 2

The last TR7, a right-hand-drive drophead registered MOV 542X, went from the line at Solihull in October 1981 into BL's heritage collection, and it is at the British Motor Museum, Gaydon, with the works rally car SJW 540S and the prototypes of the family that never was: the Lynx and two Broadsides. Canley Classics calls a development TR7 with a turbocharged O-Series engine the fastest Triumph ever, after its laps of MIRA; the Lynx, Broadside and Boxer page gives its speed.source 5source 2source 7

The most extreme TR7 was built for Le Mans: the Le Mans TR7 turbo, a Group 5 racer with two turbochargers on its Rover V8, which Janspeed and ADA Engineering made from a BL development car and which failed to qualify in 1980.
Two others were built for customers of a different kind. Page Motors, a dealer, had Crayford Engineering turn a TR7 into a sporting estate in 1976–77, the Tracer; AROnline knows of no other, and the car was restored in Britain in 2022–23. And in 1981 Wood & Pickett built the Sheaffer TRZ, a TR7 prize car for a pen maker's competition, which AROnline last places in a car park at Brands Hatch in 1986; the TR7 in popular culture tells its story.source 8source 9source 10source 11

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Every source the site cites is on the sources page.