Ortega is a popular intermediate method for solving the 2x2. It involves solving one face of the cube intuitively. Then, orienting the top layer corners with OLL (Orient Last Layer). To finish, the top and bottom corner positions are permutated using PBL (Permute Both Layers).
Sune
R U R' U R U2 R'
Antisune
R U2 R' U' R U' R'
L
y F' R U R' U' R' F R
T
R U R' U' R' F R F'
H
R2 U2 R U2 R2
Pi
F R U R' U' R U R' U' F'
U
F R U R' U' F'
Adj U
y R U R' U' R' F R2 U' R' U' R U R' F'
Adj/Adj
R2 U' B2 U2 R2 U' R2
Adj/Diag
R U' R F2 R' U R'
Diag/Diag
R2 F2 R2
Diag U
F R U' R' U' R U R' F' R U R' U' R' F R F'