Collector's Armory USED to make a great many replica guns, including the Browning, but I think they've cut their available models way down.
Another replica was the plastic model assembly kits made in Japan.
These included the Browning and were very exact models. There were several companies who made these, the biggest was "LS Models".
My only suggestion is a Goggle search, haunting Ebay in the plastic models section, and doing Ebay searches for the metal replica guns.
So, once upon a time, there WERE good replica guns out there that were fair replicas, right down to disassembly, but most seem to have been discontinued.