http://en.wikipedia.org/wiki/Difference_engineCharles Babbage, an English engineer and inventor, designed this machine (about the size of a horse) that was essentially a device for tabulating functions using divided differences. He pitched it as a machine that could work out "astronomical and mathematical tables" to the Royal Astronomical Society, but the machine ended up costing too much and the government abandoned the project. The above is a fully functional replica constructed by the London Science Museum completed in 2001, the first complete model ever produced.
http://en.wikipedia.org/wiki/Analytical_EngineAn improvement on the Difference Engine that Babbage designed drawing from experience gleaned from building the Difference Engine. the Analytical Engine is the first known example of a Turing complete general purpose computer, incorporated "an arithmetic logic unit, control flow in the form of conditional branching and loops, and integrated memory," with the plans finalized in 1837. Input would have been given in the form of punched cards, already a common component of industrial machinery at the time.
Unlike the above, this one has never been completed. Incomplete attempts have been made over the roughly 2 centuries the design has been kicking around, but none of them have got very far.