There are the Pure EPLL algs. they are for when all the corners are permuted. The Un-pure ones are better for 4LLL because they are shorter, but if you have learned all of them these are good to know because if you happen to have the corners permuted after CO then you can use one of these algs!. I am NOT going to include the 5 cycle because I do not think they are worth the time to learn and I do not recommend you learn them either.
3 Cycles
(Y2') R U R' U R' U' R2 U' R' U R' U R U2'
R U R' U2 R' U' R U' R U R2' U R U' R U2'
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R' U' R U' R U R2' U R U' R U' R' U2
R U2 R' U R' U' R2 U' R' U R' U R U2' R U' R'
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2+2 Swaps
R' L' U2 L U R y R L U2' R' U' L'
(R2' U2' R2 U') 6
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L U2' L' y' R' L' U2 L U R y R L U2' R' U L'
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