A Hybrid Orbitless gearbox combines the high speed capabilities of an Orbitless first stage with the high ratio of a Coupled Orbitless second stage. The two stages share a common set of carriers and offset members for high compactness and simplicity. A Coupled Orbitless second stage may also function on its own. Its all-pinion design supports a variety of engaging members that include gears, chains, sprockets, belts, cables and pulleys, among others. Stepped engaging members further amplify the reduction ratio and variable pitch diameter engaging members provide an infinitely variable transmission ratio.