The ternary calculating machine of Thomas Fowler. And electromechanical calculating machines from the 1960s.
The Phillips Machine, also known as the Moniac, is a early analog computer for economic modeling with an unusual twist: all of the computation is done by water flowing through its pipes. The flows represent taxes, income, and so on, and the chambers represent balances held by various bodies. Floats attached to pens can provide graphical output such things as GDP and interest rates, and valves can be opened and shut to change the state of the system in real time. You can listen to a BBC radio segment on the origin of Phillips machine, or see a demonstration of one of the only extant working models at the University of Cambridge. [more inside]
The Information Machine, [YouTube]. This short animated film was written, produced and directed by Charles and Ray Eames for the IBM Pavillion at the 1958 Brussels World's Fair [embedded sound]. Animation by Dolores Cannata. The topic is the computer in the context of human development.