http://z12.invisionfree.com/rubiks/index.php?showtopic=775
http://z12.invisionfree.com/rubiks/index.php?showtopic=786
I have posted this in earlier topics, but I hope this will be a good summary:
For a true beginners method, all you need is 4 algs, but you might have to repeat some of them up to 3 times
Edge OLL (step 1):
1-3, 2 edges, horizontal) F R U R' U' F'
Corners OLL (step 2):
2-1, 1 corner, sune) R U R' U R U2 R'
Corners PLL (step 3):
3-1, 3-cycle) R' F R' B2 R F' R' B2 R2
Edges PLL (step 4):
4-1, 3 cycle left) F2 U L R' F2 L' R U F2
Worst-case could mean 3+3+2+3=11 look.
For a little more advanced method, all you need is the previous 4 + 3 extra = 7 algs, but you might have to repeat some of them up to 2 times
All 3 extra algs are just the inverse of the alg you already know for that step
Edge OLL (step 1):
1-2, 2 edges, diagonal) F U R U' R' F'
1-3, 2 edges, horizontal) F R U R' U' F'
Corners OLL (step 2):
2-1, 1 corner, sune) R U R' U R U2 R'
2-2, 1 corner, anti-sune) R U2 R' U' R U' R'
Corners PLL (step 3):
3-1, 3-cycle) R' F R' B2 R F' R' B2 R2
Edges PLL (step 4):
4-1, 3 cycle left) F2 U L R' F2 L' R U F2
4-2, 3 cycle right) F2 U' L R' F2 L' R U' F2
Worst-case could mean 2+2+2+2=8 look.
For a complete 4 look, all you need is the previous 7 + 9 extra = 16 algs, so you never have to repeat any of them
Edge OLL (step 1):
1-1, 0 edges) L' l U l' U2 l U L' U l' L2
1-2, 2 edges, diagonal) F U R U' R' F'
1-3, 2 edges, horizontal) F R U R' U' F'
Corners OLL (step 2):
2-1, 1 corner, sune) R U R' U R U2 R'
2-2, 1 corner, anti-sune) R U2 R' U' R U' R'
2-3, 0 corners, extended sune/racecar) R U R' U R U' R' U R U2 R'
2-4, 0 corners, T) R U2 R2 U' R2 U' R2 U2 R
2-5, 2 corners, Front) R' F' L F R F' L' F
2-6, 2 corners, Left) R' F' L' F R F' L F
2-7, 2 corners, Back) R2 D' R U2 R' D R U2 R
Corners PLL (step 3):
3-1, 3-cycle) R' F R' B2 R F' R' B2 R2
3-2, diagonal swap/small r) L' U' L F2 R' D R U R2 D' R2 U' F2
Edges PLL (step 4):
4-1, 3 cycle left) F2 U L R' F2 L' R U F2
4-2, 3 cycle right) F2 U' L R' F2 L' R U' F2
4-3, 4 cycle straight/cross) r2 R2 U' r2 R2 U2 r2 R2 U' r2 R2
4-4, 4 cycle diagonal/z) R' U' R U' R U R U' R' U R U R2 U' R' U2
Worst-case could mean 1+1+1+1=4 look.
Next step would be to learn how to combine step 3 and 4 to do full PLL. For that you would need to learn the 6 PLL algs + 15 extra PLL algs = 21 PLL algs. Combined with 3+7 OLL algs = 31 algs for a 3 look
Final step would be to learn how to combine step 1 and 2 to do full OLL. For that you would need to learn the 10 PLL algs + 47 extra OLL algs = 57 OLL algs. Combined with 21 PLL algs = 78 algs for a 2 look
After that come the expert methods like ZB or VH