CLS

These are (mostly) Stachu Korick's CLS algorithms in the order he recommends learning them.

C Cases

R U R' U R U2 R'
R U2 R' U' R U' R'
R U R' U R U' R' U R U2 R'
r U R' U' r' F R F'
R U2 L' U L U2 R' L' U L
R2 D R' U2 R D' R' U2 R'
R U2 R2 U' R2 U' R2 U2 R

Three U-layer corners oriented correctly, in the U layer

So one from each case (+/-/O/I/Im)

L D' L' U L D L'
U' R' D' R U R' D R
L' D2 L U2 L' D2 L
yR'DRU'R'D'R
(U)RU'R'F'RUR'U'R'FR
reduction to F2L by (U)RU'R'
x (R U2 R' U' R U' R') (L' U2 L U L 'U L) x'
R U2 R U R' U R U2 R' U2 R' U' R U' R'
U' R U2 R' U R U2 R' U' R U' R' U' R U R'
[U y] (R U R' U')*2 [L2] (U R U' R')*2 L2
U2 R U' R' U R U2 R' L' U R U' L R'
R' U' R' U R U' R U' R U' R U R2 U' R
(U2) R2 U2 R2 U' R2 U' R2
y'R2U'R2'U'R2U2'R2'

One U-layer corner misoriented in U-layer

+ Cases

d (R' U R) U (R' U2' R)
(U) (R U2 R') U2 (R U R') U2 (R U2 R')
RUR'U'R'F'RURU'R'F
reduction to F2L by RUR'U'
(U') (R U2' R') U (R U R')
(U2) (R2 U' L') U (R2 U' L)
R' D R' U2 R D' R' U2 R2
(U2) (R U2 R') U2 (R U R' U') (R U R')
U' R U R' U' R U' R' U' R U R
U (R U2 R') U2 (R U R') U (R U' R')
(U)RULU'R'UL'
for OH

- Cases

(R U R' U') (R U' R') U2 (R U2 R')
d R' U2 R U' R' U' R
(U') (R U' R') U' (R U2 R') U' (R U2 R') U' (R U' R')
x U' L U R U' L' U R x'
U' R2 U2 R' U' R U' R' U R' U' R U2 R'
(R U R' U') (R U' R') U (R U' R')
(U) (R U2 R') U' (R U R') [U (R U2 R')]*2
(U') (R U' R') U' (R U2 R')
standard F2L
(U) L U' R U L' U' R'

O Cases

(U2) (R U' R') U (R U R') U (R U' R')
(U) (R U R') [U (R U' R')]*2 U2 (R U R')
(U) (R U2 R' U')*3
(U') (R U R' U') (R U R') U (R U' R')
(R U R' U R U2 R') U (R U2 R') U (R U R')
Sune, CLS
U' y' (R' U2 R U) *3
(U2) R U2 R U2 R2 U' R2 U' (R' U R')
U2 R U2 R' U2 R U' R' U2 R U2 R'

Other easy cases

Quick Anti-Sune
(U2) F' (R U2 R' U' R U' R') F
(U2)F' anti-Sune F
(U') R U' R' U2 (R U R' U') (R U' R')
(U')RU'R', winter
Quick Sune
(U2) F' (R U R' U R U2 R') F
(U2)F' Sune F

Stachu: "Now's where you start learning CLS to actually learn CLS, not just 'easy cases.'"

Remainder of I Cases

(R U R' U')(R U2 R') U'(R U R')
U2 (R U' R') U' (R U R')U2 (R U' R')
(R U2 R' U2) (R U2 R') U' (R U R')
(R U' R') U' (R U R' U') (R U2 R')
(U) F' (R U R') U (R U' R') U (R U2 R') F
(y') R' U2 R U' R' U R U' R' U' R
U R U' R' U' R U R' U2 R U R' U' R U' R'
R U R' U2 R U' R' U2 R U2 R' U2 R U2 R'
(R U' R') (U2 R U' R')*3
R U2 R' U' R U' R U2 R' U' R U' R' U2 R'
U R U2 R' U' R U R' U2 R U2 R' U' R U R'
(R U2 R' U2 (R U R' U'))*2
R U' R' U' R U R U' R' U R' U R' U R' U' R

Remainder of Im Cases

(R U' R') U (R U2 R') (U R U' R')
U' (R U R') U2 (R U' R') U (R U R')
U R U R' U2 R U' R' U R U R'
U R U2 R U R' U R U2 R2
(R U2 R') U (R U' R') U (R U R')
(R U2 R') [U (R U' R')]*2 U' (R U' R')
(R U' R') U (R U2 R') U2 (R U2 R')
U (R U R') U R2 U R' U R U2 R2
R U' R' U2 R U R' U' R U2 R' U2 R U' R'
U' R U R' U2 R U' R' U R U2 R' U R U2 R
(R U' R') U2 (R U2 R') U (R U' R') U2 (R U2 R')
U' R U' R' U2 R U2 R' U R U' R' U2 R U2 R

Other Pretty Fast Cases

+ Cases

(U) (R U R') U2 (R U R')
U (R U' R') U (R U R' U') (R U R')
(U2) (R U' R') U (R U' R') U' (R U R')
(U') (R U2 R') U (R U' R') U' (R U' R')
(U2) (R U' R') U2 (R U R') U (R U R')
d R' U (R U2 R') U R
standard F2L

- Cases

(U') (R U' R') U2' (R U' R')
standard F2L
R U' (R U2 R') U' R U' R2
reduction to F2L by RUR', with cancellation
(R U' R') U2 (R U R') U2 (R U R' U') (R U R')
RU'R'U2RUR', F2L
(R U2 R') U R2 U2 (R' U' R) U' R2
RU2R', F2L
(U2) (R U' R') U2 (R U2 R') U2 (R U' R')
(R U' R2) U2 (R U R') U R2 U R'
RU'R', back anti-Sune, finish
R2 U2 (R U' R') U R2 U' R U' (R' U R')
(U') R U' R' U2 R2 D R' U' R D' R2
(U')RU'R', winter
(U') (R U' R') U' (R U' R') U (R U2 R')
(U')RU'R', winter
(R U R') U (R U R' U') (R U' R') U2 (R U R')
(U) R2 U (R' U R) U2 (R' U R')
U' R U' R' U R' U2 R U R' U R2 U2 R'

O Cases

(R U R' U')*3
(R U R' U')*2 (R U2 R' U)*2
y' (R' U' R U)*3
(U) (R U R' U') (R U2 R') U (R U' R')
[U (R U' R')]*2 U (R U R' U') (R U' R')
U R U R' U R U' R' U' R U R' U R U' R'
U' (R U R') U (R U' R') U2 (R U R')
(U) (R U2 R') U' (R U2 R') U2 (R U' R')
R U' R' U2' R U' R' U R U' R U2 R U' R'
RU'R', F2L

Finish Off O

(R U2 R') U' (R U' R') U (R U' R') U2 (R U' R')
R U R' U R U R' U R U' R' U' R U R'
(U') (R U' R') U' (R U R' U') (R U R') U2 (R U' R')
(U') (R U2 R') U2 (R U2 R') U (R U' R')
(R U R') U2 (R U2 R') U2' (R U R')
(R U2 R') U R' U' (R U' R') U2 R2 U R'
U2 R' U R' U' R U R' U R U2 R' U2 R U' R
U' R U2 R' U2 R U2 R' U2 R U' R' U R U2 R'
R U' R2 U' (R U' R') U2 (R2 U R')
RU'R', back Sune, finish
(R U2 R') U' (R U' R') U (R U' R') U' (R U2 R')
U2 (R U' R') U' (R U' R') U2 (R U R')
(U2) (R U2 R') U2 (R U' R' U)*2
U' R U' R' U R U' R' U R U R' U R U R'
(U') (R U R' U') (R U R') U2 (R U2 R')
(U2) (R U' R') [U (R U R')]*2 U' (R U' R')
(U' y') R' U2 (R U R') U2 (R U2 R') U R
R U R' U R U2 R' U' R U R' U2 R U R'
U (R U R' U') [(R U2 R') U2]*2

Finish Off -

(U2) (R U R') U2 (R' U' R) (U' R' U2) (R2 U R')
(U2)RUR', non-standard F2L
U' R U2 R U2 R' U' R U' R2 U' R U2 R'
(R2 U R') U R2 U' R2 U R' U2 R2
(R U' R') U (R' U' R) U' R' U2 R2 U' R'
(U) (R U2 R') U' (R U R') U (R U R')
(U)RU2R', F2L
(U2) (R U' R') U2 (R U2 R') U' (R U2 R')
(U2)RU'R', F2L
y'U'R'U'RU2'R'U'R
(U2) R U' R U2 R' U' R' U R2 U2 R2
(U')R2U2'R2'U'RURU2'R'UR'
inverse of above
U' R' U' R' U' R' U R U R2 U2 R'
for OH
(U) (R U R') U (R U R' U') (R U2 R')
(U)RUR', F2L
(R U R' U') (R U' R') U (R U R') U' (R U' R')
sexy, RU'R', winter
(U') (R' U R2) U R' U2 (R U R') U (R' U' R)

Finish off +

(U2) (R U2 R') U (R U2 R') U2 (R U R')
U R' D' (R U R' U') (R U' R') U2 D R
(U) (R U R') U2 (R U2 R') U (R U2 R')
U R U R' U2 R L' U R' U' L
(R' U R) U2 R2 U' R U2 (R' U' R2)
(R U R') U (R U' R2) U2 R2 U (R2 U R)
RUR'URU'R', F2L (BR free)
(U') (R U R') U2 (R U' R') U2 (R U R' U') (R U R')
(R U R') U2 R' U' (R2 U' R2) U2 (R2 U R')
U' R U2 R2 U2 R U R' U R2 U' R'
R U R' U2 R' U' R2 U' R2 U2 R2 U R'
U' R U2 R2 U2 R U R' U R2 U' R'
(U) (R U' R') U (R U R' U')(R U' R') U' (R U' R')
(U2') R' U' D' R U' R' U2 D R
(U') (R2 U2 R') U' R U' R2' U (R U R') U
(U2) R U' R2 U2 (R U R') U R U2 (R U' R')
Y' U' R' U' R U' R' U' R U R' U2 R
d R' U (R U2 R') U R
(U2) R U R2 U' (R U' R') U2 R2 U2 R'
(U2)RUR', back Sune, finish
(R U R') U (R U2' R') U (R U' R')U2 (R U' R')
L2 D' (L' U L) D L2 U (L U2 L')
(U) R U R' U R U' R' U' R U' R' U' R U R'
from Joey Gouly