Razoux Shultz Method (CLL/ELL)
After completing the first two layers, this method finishes off the last layer in two steps, as in Fridrich, but using CLL, which permutes and orients the corners, followed by ELL, which permutes and orients the edges while preserving the corners. Since the Fridrich F2L is usually used for the first two layers, this approach is used not as an entirely separate method but as an alternative to Fridrich last layer. In this context, it is usually simply called CLL/ELL.
Waterman Method
Marc Waterman invented this advanced corners-first method during the first cube crazy. For many years, his 17 second average remained one of the fastest in the world using any method. Watermaan has not competed since the 80's. A description of this method can be found at Rubikscube.info.
Petrus Method
Invented by Lars Petrus, this method relies less on algorithms and more on building blocks; the first step, for example, is to build a 2x2x2 block. At the same time that this is more intuitive than Fridrich F2L, it usually takes longer to master all the various block building techniques.
Roux Method
Gilles Roux invented this method in 2003 partly in reaction to the growing popularity of the Fridrich Method, which relies on a large number of algorithms. Extending the block approach of the Petrus Method even further, this method starts off with a pair of 1x2x3 blocks.
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