Grid-based first-person movement
First person games where the movement and other elements are locked to a grid. May or may not have a smooth transition.
Alternate names: First-person grid
Name variations: Grid-based first-person
The first video game about Grid-based first-person movement was released on September 1981.
Better name for this concept is needed, but since there's no agreement on it besides grid based movement or similar elsewhere and that doesn't distinguish from other uses of grids, we're limited to this currently.