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I'm not an authority but in that era I'm pretty sure that Jaguar used a variety of radios depending on market....often installed at Port of Entry. I don't think there was a single, standard make/model.
There is a place in New Jersey that would upgrade your original radio to modern standards.
Stuff like AUX port, USB and WIFI.
I happened to come across them while searching the internet to get the radio code for a Mercedes I owned with a no start condition. They were very helpful and was able to give me the radio code. Car started and sold.
I will do a search for the company and post it here.
In the UK there is a company that I used a few years ago that revive and modify old radios. They did a good job of reviving my old Motorola. They advertise themselves in Jaguar Enthusiast magazine. They are "Vintage Wireless" are based in Sale near Manchester and have fax and 'phone number 01619730438. UK access code is 44. They have a stock of classic radios.