Don't forget to classify these things properly. An engine converts stored energy to kinetic energy. Some types I have seen listed do not really qualify as engines. Things like solar, coal, etc... are not really about the engine but the energy storage medium.
My grandfather R.T. DeVault helped design and test the 1st ramjets.
For scale I would include the Space Shuttle Main Engine, and the molecular hydrogen turbines currently being developed.
g00b