My (favorite) method to solve the classic Rubik's cube may look like a mix of Adam's method, Roux method and Salvia's method.
I.e., this is how the method builds the cube in parts, maneuvering that the previously solved parts would not be disturbed or would only be minimally disturbed where unavoidable.
One can say that the method reuses algorithms for permuting (PLLC) and orienting (OLLC) the last layer corners as from the Corners First approach.
However, it utilizes the fact that those algorithms do not only preserve the first layer corners but preserve also the two particular edges from the first plus two from the second layer.
Hence the method starts by solving those four edges first, followed by the 1st layer corners making an incomplete First Two Layers (iF2L).
It continues with the second layer corners, followed by the four remaining edges from the left and right layers.
It ends up by solving the four middle edges from the vertical M-slice in a sandwich between the R and L layers.
The method is mostly intuitive, all together four algorithms (of whom two are short and also intuitive) are just enough to solve the whole cube.
Compared to e.g. Beginner's method or other methods leaving the 3rd layer as last to solve, the PLLC algorithms here can be shorter since they utilize the incompleteness of iF2L(four 1st layer corners plus only half of the eight F2L edges were solved before).
Method builds the cube in eight steps, detailed instructions with Java simulations are presented at:
http://free-zg.t-com.hr/penzars/RubiksC ... ethod.html
Comments, corrections and possible improvements are welcome