Speedsolving

Cross, first two layers, orientation, permutation: the most widely used speed method.

The method almost everyone learns first: the cross, the first layer, the middle edges, then the last layer in small steps.

Two 1x2x3 blocks, the last-layer corners (CMLL), then the last six edges with M and U turns.

Orient every edge first, then solve F2L with only R, U and L turns, and finish the last layer with fewer cases.

CFOP's cross and pairs, then a last pair that also orients the last layer's edges, so one ZBLL solves the whole last layer.

A 1x2x3 block, most of the belt, edge orientation with the last belt edge, then the corners left and the edges left.

Pure block building: squares, then the first two layers with the edges oriented, then the last corners by a commutator.

Corners first: a layer, the other layer's corners, then the edges, ending like Roux.

Build a 2x2x2 block, extend it to 2x2x3, orient the edges, finish F2L with R and U, then the last layer.