There were lots of Japanese Leica copies (e.g. Tanack, Honor) as well as Leica-inspired cameras such as the early Canons (basic Leica design with various improvements.)
There was even an American Leica-like, the Kardon. I believe both the Kardon and the Reid originated during the Second World War, when military services that had standardized on Leicas found the originals difficult to get, so commissioned domestic manufacturers to design and build substitutes. Both continued in production after the war for domestic sale.
I've never handled a Reid, but am told it was made to a very high standard. Its manufacturer, Reid & Siegrist Ltd., was a respected precision-instrument manufacturer in the UK.