1936: Water integrator, used in USSR until the '80s: https://en.wikipedia.org/wiki/Water_integrator
1940s: Torpedo Data Computer: https://en.wikipedia.org/wiki/Torpedo_Data_Computer
1949: MONIAC, another water integrator: https://en.wikipedia.org/wiki/Phillips_Machine
1960s: Scanimate, of which there are still a couple in use: https://en.wikipedia.org/wiki/Scanimate
Modern day: Slime molds, other biocomputers, and domino computer: https://youtu.be/OpLU__bhu2w
And of course, quantum computers.