Not just board based but Phutball it's interesting; and there was another one called Racetrack or something like that moving on vectors where you speed can just change on one unit around -+ x and/or y axis (9 directions).

https://en.wikipedia.org/wiki/Phutball

Race Track

http://ideaexplore.net/racetrack.pdf

There are a fre more great 'realistic' pen and paper games like Tennis.

https://en.wikipedia.org/wiki/Tennis_(paper-and-pencil_game)