Andy,
The wooden plane is a moulding plane, the profile of which is defined by the shape of the sole/cutter. They come in zillions of profiles and widths. Most can be had for a few quid. Wider ones and ones with multiple cutters command higher prices. The number of makers is huge.
They are super for running mouldings on the edges of stock - you can get shapes you just don't find in router cutters. They are quiet, quick and you get a deal of satisfaction from using one.