I wonder why the Eikonal equation (and variations) and level-set methods are so rarely discussed. They yield any-angle paths and can also take into account the kinematics of the vehicle (e.g. minimum turn radius). I used it to solve a pathfinding problem in robotics and it could perform parking maneuvers all by its own.

The resulting algorithm bears similarities to Dijkstra's or A* (i.e. it is a sort of value iteration, see the "fast marching method") but yields a scalar field, whose gradient will give the direction of the optimal path at any point.