Robert J. Curran's Mechanical Maze is included here as it is essentially a mechanical computer, exhibiting similar characteristics as other electro-mechanical maze solvers.
As the mouse travels a path, if it has to back out due to a dead-end, the return pass triggers a mechanical latch to give the maze a "memory". The patent description gives a more detailed account.
Patent number: 3087732
Filing date: Feb 15, 1962
Issue date: Apr 1963
See pdf here.