There are board games that involve using a crayon to draw lines (not letters or figures) on a board (e.g. EuroRails). Are these activities problematic on Shabbat? There are two aspects: the drawing ...
I don't have good sources handy, but apparently some forbid the Shabas playing of games in which one usually writes, even if playing without writing: Scrabble, in which one writes scores, is sometimes ...