3x3x3 F2L

Basic Inserts

I2		U (R U' R')
		R U R' U'
I1		y' U' (R' U R) y U' (L' U L)
		R' U' R U y
T2		y' (R' U' R) y (L' U' L)
		R' U R y
T1		(R U R')
		R U' R'

F2L Case 1

R2		U' (R U' R' U) y' (R' U' R) y' U (R' U' R U') (R' U' R)
		R' U R y U' R U R' U
R1		U' (R U R' U) (R U R')
		R U' R' U' R U' R' U
J2		U' (R U2' R' U) y' (R' U' R) U' (R U2' R') d (R' U' R)
		R' U R y U' R U2 R' U
J1		R' U2' R2 U R2' U R y' U (R' U2 R) U' y (R U R') (R U' R' U) (R U' R') U2 (R U' R')
		R' U' R2 U' R2 U2 R
L2		y' U (R' U R U') (R' U' R)
		R' U R U R' U' R U' y
L1		U' (R U' R' U) (R U R')
		R U' R' U' R U R' U

F2L Case 2

Q2		(U' R U R') U2 (R U' R')
		R U R' U2 R U' R' U
Q1		y' (U R' U' R) U2' (R' U R) d (R' U' R) U2' (R' U R) Note – (y' U) and (d) are interchangeable
		R' U' R U2 R' U R U' y
S2		U' (R U2' R') U2 (R U' R')
		R U R' U2 R U2 R' U
S1		y' U (R' U2 R) U2' (R' U R) d (R' U2 R) U2' (R' U R)
		R' U' R U2 R' U2 R U' y

F2L Case 3

U2		U (R U2' R') U (R U' R')
		R U R' U' R U2 R' U'
U1		y' U' (R' U2 R) U' (R' U R)
		R' U' R U R' U2 R U y
V1		U2 (R U R' U) (R U' R') (R U' R') U2 (R U R')
		R U R' U' R U' R' U2
V2		y' U2 (R' U' R) U' (R' U R) F' L' U2 L F Note – The second algorithm is fewer moves, but less intuitive and less fingerfriendly.
		F' L' U2 L F

Incorrectly Connected Pieces

K2		y' (R' U R) U2' y (R U R') (R U R') U2 (R U' R' U) (R U' R')
		R U' R' y' U2 R' U' R y
K1		(R U' R' U2) y' (R' U' R) U F (R U R' U') F' (U R U' R')
		R' U R y U2 R U R'
N2		(R U2 R') U' (R U R')
		R U' R' U R U2 R'
N1		y' (R' U2 R) U (R' U' R)
		R' U R U' R' U2 R y
M1		U (R U' R' U') (R U' R' U) (R U' R') (R U R' U2') (R U R' U') (R U R')
		R U R' U' R U R' U R U R' U'
M2		y' U' (R' U R U) (R' U R U') (R' U R) F (U R U' R') F' (R U' R')
		R U R' F R U R' U' F'

Corner in Place, Edge in U Face

A2		U' F' (R U R' U') R' F R R' F' R U (R U' R') F
		R' F' R U R U' R' F U
A1		U (R U' R') U' (F' U F) U (R U' R') (F R' F' R)
		F' U' F U R U R' U'
E2		(R U' R' U) (R U' R')
		R U R' U' R U R'
E1		y' (R' U R U') (R' U R)
		R' U' R U R' U' R y
F2		y' (R' U' R U) (R' U' R) (R' F R F') U (R U' R')
		R' U R U' R' U R y
F1		(R U R' U') (R U R')
		R U' R' U R U' R'

Edge in Place, Corner in U face

B2		(R U' R' U) y' (R' U R) U' (R' F R F') (R U' R')
		R' U' R y U' R U R'
B1		(U R U' R') (U R U' R') (U R U' R')
		R U R' U' R U R' U' R U R' U'
G2		(U' R U' R') U2 (R U' R')
		R U R' U2 R U R' U
G1		U (R U R') U2 (R U R')
		R U' R' U2 R U' R' U'
H2		(U' R U R') d (R' U' R)
		R' U R d' R U' R' U
H1		U (F' U' F) U' (R U R')
		R U' R' U F' U F U'

Edge and Corner in Place

A0		(R U' R') d (R' U2 R) U2' (R' U R)
		R' U' R U2 R' U2 R d' R U R'
C2		(R U' R' U') R U R' U2 (R U' R') (R U R' U') R U2 R' U' (R U R')
		R U R' U2 R U' R' U R U R'
C1		(R U' R' U) (R U2' R') U (R U' R') (R U R') U2' (R U' R' U) (R U R')
		R U R' U' R U2 R' U' R U R'
D2		(F' U F) U2 (R U R' U) (R U' R') (R U' R') F (R U R' U') F' (R U' R')
		R U R' U' R U' R' U2 F' U' F
D1		(R U R' U') (R U' R') U2 y' (R' U' R)
		R' U R y U2 R U R' U R U' R'