The Definitive Map shows all the Public Rights of Way in a County as as defined by the various acts over the years, eg, Footpaths, Bridleways and Byways Open to All Traffic.
The List of Streets covers all the roads within a County, A roads, B roads, C roads etc, the majority being ordinary tarmacked roads, but it some areas it may include some which are unsurfaced. It is generally (but not universally) accepted that you have a right to drive along them.
The real problem is when a lane appears on both, and has different classifications...
Just in case anyone thinks Rights of Way law is straightforward, my knowledge (now hopelessly out of date) resulted from a weekend residential course, and that only scratched the surface.