Okay, so after learning Fridrich and Roux, I think I have come up with an interesting hybrid method. one that may even use fewer moves than Either one, and be faster. It is a combo of a roux-style LSE(cause Fridrich LL isn't too move-efficient) and a Fridrich F2L. If you have a Name for it(for now its called the Prius Method-- cause its a Hybrid)
steps:
Step 1:SemiCross during inspection, visualize how to solve a cross on the bottom layer(or left or top, etc.). Well, not exactly. First get two white solved pieces opposite each other(really easy to visualize during inspection). and then instead of solving the other two cross pieces, orient and place any yellow or white edge(the easiest one is usually best).
This is nice because it often requires less time and less moves than a normal cross
Step 2:Intuitive Fridrich F2L Solve the F2L any way you want(or can)
Step 3: Orient last layer and permute corners Remember your 2-look OLL's and your Corner-switching PLLs(2, maybe 3 cases--easy to remember)
Step 4: Roux-style LSE Hold your cube as if you had just done Roux.Since you have oriented all the edges on the cube(That's why we did that 2-look OLL earlier, and that SemiCross-- so we skip the most annoying ministep of LSE) If you need help with this, go look at
Gilles Roux's website Replacing LL with LSE does away with the fincky fridrich method last layer and also shortens the beginning steps, because two of the edge's position doesn't matter, just their orientation.
Variation: If you aren't bothered by the top corners not being permuted during LSE, you can to that corner permutation after you have done LSE. It might be faster, who knows?