Quite a typology we have here with hop-scotch, tic-tac-toe, table to count point in whatever game, etc. What I've put here are only games that use the surface, for the use of shape, see this blogpost about skateboarding structures.
Surely a recommendation to have a look at what is under your foot in contemporary cities. And definitely of interest for people interested in urban computing? Why, simply to show how space is appropriated by a certain class of users and how simple they employ basic tools to create a playful environment. In the examples I chose here, there's only one instance where the sidewalk structure has been designed with a game purpose (the first one, in Rotterdam), there is room for both designed surface and people's appropriation. What role technology can play in this? perhaps mobile, touch and communication technologies can enable to expand the chalks, which seem to be the main tool used so far.