In reply to Julian:
As Jude & other have said, the green line is the public right of way - public footpath (little dashes) or bridleway (longer dashes). And as you've noticed, these can bear little resemblence to what you actually find on the ground.
The paths marked in black are the 'real' paths found on the ground, and are generally pretty accurate. Not always, though, as much of the mapping is done from aerial photos, and just occassionally a broken down wall, or a ditch, or some other feature gets marked as a path.
I'm not sure why the marking of the public rights of way is so strange. I assume the OS maps are faithful reproductions of the definitive map. Again, I assume the public rights of way were recorded along the lines of 'there's a right of way from x to y' - and this was then drawn on the map as a straight line. I don't know for sure, and if anyone does, then I'd be interested to know.....
Anyhow, once you know to look for the black paths, it all gets a lot more straightforward. I once had a guy ask me if all the brown lines on an OS map were the paths. I told him they were very good for circular walks...... then relented, and explaind.....