Games That Use Hexagonal Tiles
In games involving movement across a map, the map frequently has a grid superimposed to show how far pieces may move. For a square grid, there is always the annoying question of whether movement may be made on the diagonal, or only into squares that touch orthogonally. Whatever else I may think of Hero Clix, the fact that a hexagonally gridded board isn't used has always bothered me. Monsterpocalypse gives a somewhat novel solution - your units may make one diagonal movement with all others moves either horizontal or vertical - but even that solution seems inelegant.
The problem is compounded when using a modular board made up of tiles. Square tiles are commonly used because squares are easy to cut out, but they still leave the annoying question of what exactly is meant by "adjacent". Are tiles adjacent if they touch diagonally, or only if they are orthogonal?
I list those games that bite the bullet and use hexagonal tiles.