OLS
Click here for a description of OLS on the SpeedSolving.com wiki
OLS orients the last layer edges and corners during the final pair of the first two layers. There are multiple subsets which have been proposed by various people and they all have been grouped into the single name OLS.
Table of Contents
Vandenberg-Harris Last Slot
VHLS orients all edges of the last layer when the final F2L pair is already built or is in the three turns away from solved state (R U R' or F' U' F).
VHLS was proposed in October, 2003 by Lars Vandenberg and Dan Harris
This message comes from the SpeedSolvingRubiksCube Yahoo group.
Winter Variation
Winter Variation orients all last layer corners when the final F2L pair is in the pre-built state.
Winter Variation was proposed in January, 2005 by Lucas Winter
This message comes from the SpeedSolvingRubiksCube Yahoo group.
CLS
CLS orients the last layer corners while placing the final corner of the first two layers. The prerequisite is that the last layer edges are already oriented and the final F2L edge is already solved. This was proposed as the second step of MGLS.
Shotaro Makisumi and Lucas Garron developed CLS from 2004 - 2007
https://web.archive.org/web/20070913114107/http://cubefreak.net:80/f2lc_llco.html
The second image comes from the SpeedSolvingRubiksCube Yahoo group, which is no longer online.
Erik Johnson Last Slot
EJLS orients the last layer corners when there is a single misoriented corner in the first two layers and the last layer edges are already oriented. It is similar to the "I" and "Im" subsets of CLS. However, the difference is that the goal is to take advantage of easy situations in blockbuilding in Petrus, ZZ, or even CFOP where a corner can be placed misoriented at any point and save moves versus correctly solving the corner.
Erik Johnson proposed EJLS in September, 2008
Summer Variation
Summer Variation orients the last layer corners when all edges are already oriented and the final F2L pair is in the three turns away from solved state (R U R').
Chester Lian proposed the subset in January, 2009.
James Straughan had previously proposed and developed the idea ~2007 for the MI1 method
Valk's Last Slot and Hessler's Last Slot
VLS orients the last layer edges and corners when the final F2L pair is pre-built. HLS orients the last layer pieces when the pair is R U R' away from solved.
VLS was proposed by Mats Valk in 2009. HLS was proposed by Rowe Hessler in 2013.
Magic Wondeful
Magic Wondeful orients all last last layer pieces when there is an oriented 1x2x2 block of pieces on the last layer and the final F2L pair is pre-built.
David Gomes, Jeremy Fleischman, and Devin Corr-Robinett developed the idea in 2011 and it was presented on Shotaro Makisumi's website
Brooks Last Edge / Jack Johnston Last Slot
BLE / JJLS orients all last layer corners during insertion of the final F2L edge. The prerequisite is that the corner of the final F2L pair is already solved, all edges are already oriented, and the edge of the F2L pair is currently in the last layer.
Jack Johnston proposed the idea in August, 2013 and Michael Gottlieb developed the algorithms
Jack Johnston presented JJLS to the community in September, 2013
Anthony Brooks developed the algorithm set in 2014
Anthony Brooks provided a PDF for the algorithms in early 2017
It was discovered that Jack Johnston and Anthony Brooks independently developed the same idea