3x3
CFOP, ZZ and Roux: F2L, OLL, PLL, COLL, ZBLL, CMLL
CFOP (Fridrich)
Cross, first two layers, orientation, permutation: the most widely used speed method.
Cross → First two layers → Last layer, 2-look (beginner) → Last layer, full → Beyond CFOP · 164 cases
ZZ (Zbigniew Zborowski)
Orient every edge first, then solve F2L with only R, U and L turns, and finish the last layer with fewer cases.
EOLine → F2L → Last layer · 540 cases
Roux (Gilles Roux)
Two 1x2x3 blocks, the last-layer corners (CMLL), then the last six edges with M and U turns.
Blocks → CMLL → Last six edges · 42 cases