Eureka does some Bobbies, but they are rather for the (late) Victorian era.
Another interesting thing might be a Lledo 1934 Dennis fire engine. Sometimes they deliver them with an extra sprue: a man with a starter, a little girl ...and this friendly and helpful chap:
Of course he wears a greatcoat, which limits his use a little bit. At least the left arm of his greatcoat shows the same stripes like the upper pic in Plynkes' post. The Bobby is made of that soft and darkblue "waterbucket"-plastic, and the details are a little bit blurry. As far as I know, this is the only one of that era - at least in that scale. But maybe I'm wrong...
Hope that helps you a little bit...