There are a few catagories that algorithms fall into, First Two Layers (F2L), Orientation of Last Layer (OLL), and Permutation of Last Layer (PLL). Below are their repective links with the algorithms on the linked pages.
Some notes: If you are having trouble with the notation please watch this video. All these algorithms are just ones that I use and that I think are good, there is always more than one way to do a case. If you don't like how a case is done here there are probably plenty more ways to do it on any of these sites.