Cuthbert Goes Walkabout (1983)

In this installment of the Cuthbert Saga, Cuthbert goes for a stroll on a grid. As he walks along all four sides of a cell in a grid, it changes color, and when all cells have been colored, it is on to the next grid. This would have been too easy, were it not for the nasties that also walk along the grid. The inspiration for this game is the old arcade game, Amidar, and it can be seen as a primitive version of Oh Mummy. (mobygames.com)