I suspect that quite a lot of the geometries of those will actually be in OSM**. For example, an Overpass search for “any sort of railway way” between Malton and Pickering finds lots - both the remaining Scarborough line, the former line to Pickering, as well as other odds and sods such as the monorail at Flamingoland. I’d expect you’ll be able to tinker with the Overpass Turbo query to look more specifically for what you want. OpenRailwayMap shows this sort of stuff, so does this one of mine over a more normal background. If you fancy a monster PDF, there’s also “new Adlestrop”.
** Arguably things that don’t exist any more shouldn’t really be in OSM, but that’s very much a discussion for elsewhere (there were several very long parallel discussions ongoing about it earlier this year), and not really part of the answer to your question 
