Why do you use the method you use?

I'm a recent returnee to speed cubing. I started back in the early 80's and got down to 17-28s range. My method back then was.
1L cross (pick best color)
1L corners
2L edges (2 alg)
3L corners, perm then orient
3L edges, orient then perm
It really wasn't all that efficient, given what I know now, and I achieved the decent times using brute force and lots of finger tricks.

Now I'm trying out some new stuff. I worked with petrus for a while but found that the early edge orientation was slowing me down, especially since a 2 edge EOLL alg is only a fast 6 moves. I went to a modified version of my original method and got my times down to 1:05-1:20.
2x2x3
finish 2L
orient edges
permute corners
orient corners
permute edges

I'm now working on Fridrich F2L with a 4 look LL. Not ready to use the stopwatch yet, but getting the algorithms down pretty quickly. I'm being really careful about cube orientation and hand position so I can get the full benefit of finger tricks.
 
1: Just... can't... figure it out...

2: Guimond
Because it's good.

3: Fridrich, nice and standard like everyone else.

3OH: same as 3, with more OH-friendly algs for LL

3BLD: 3OP still (hey, it works); maybe I'll switch someday

4: Reduction, Syuhei's method (go Syuhei!)

5: Reduction, bigcubes.com

6: never solved one; I'd assume same as 7

7: reduction, freestyle edges, last 4 done by inner 4, then outer 4

Sq-1: Lars' method, only with less algs (too lazy right now to learn them)
 
2x2x2 Corners First Ortega/Varassano

3x3x3 Corners First. I don't bother with orientation of the M layer when solving the last ledge, mostly because I don't have the will to memorize the algs. I did Guimond for a while, then switched to Ortega/Varassano.

4x4x4 http://cubacca1972.googlepages.com/ I have worked out all the algs needed to solve phase 2 in 2 algs, but haven't posted them, due mostly to laziness. Anyhow, I solve two opposite faces (solve centers, then corners first, then fill in the edges), solve the remaining edges (2 algs), solve the remaining centers (maximum of 8 algs).

I just like the simplicity of corners first, and the relative freedom to solve the edges via M slice moves. Plus, I only enjoy the F2L part of Fridrich. Too many LL cases/algs to memorize.

My times aren't too fast, because I have what is referred to as "stupid fingers".
 
I use Fridrich because the kid who taught me how to cube told me to google Fridrich. Also the kids at my school heard rumors that the pros can solve the F2L at the same time! So since all we knew was LBL we looked for how to do this by trying to figure out intuitive F2L with out knowing what we were doing was intuitive F2L. Then I found the irc chat and the people in there told me to go to tomasu's page on intuitive f2l and there I learned fridrich.
I didn't think of switching until it was pretty much too late...
But I do try to use more blockbuilding and a kind of intuitive ZBF2L with COLL as well as full fridrich.
 
3x3: Roux. It is the funnest method and can be quite fast, though i still need to shave like 4 seconds off avg to be "world-class".

4x4: I used to use k4, was avg'ing like 1:20 with it but then i came up with my own method for it, it's basically a hybrid between k4 and standard reduction. With this hybrid method pairing is much easier then in standard redux because you have three edge pairs already solved in DL, FL, and BL so you never have to look in those positions when pairing.

5x5: same method as on the 4x4
 
3x3x3: Fridrich, it's fast and easy to learn.

3x3x3BLD: Learning classic pochmann, still haven't succeeded yet.

4x4x4: Reduction (centers, edge pair-up, 3x3+fix parity if needed)
 
3x3 Roux-- Its fun building blocks

3x3 OH-- petrus I like building blocks

4x4 k4-- I dont really know

5x5 reduction--- its pretty easy to do
 
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