This is inspired by me and my friends when we discovered the intelligent design sort. Make a sort that is related to everyday issues or ideologies!
The Intelligent Design Sort
The probability of the original input list being in the exact order it's in is 1/(n!). There is such a small likelihood of this that it's clearly absurd to say that this happened by chance, so it must have been consciously put in that order by an intelligent Sorter. Therefore it's safe to assume that it's already optimally Sorted in some way that transcends our naïve mortal understanding of "ascending order". Any attempt to change that order to conform to our own preconceptions would actually make it less sorted.
(The rest were done by me and my friends)
The Evolution Sort:
The evolution sort would traverse an array and any elements that weren't sorted would be deleted so only the elements that are sorted remain. Then it spurs and bunch of random numbers into random places within the array and does another step. Repeat indefinitely.
The Creationism Sort:
The creation sort will automatically produce the right order just because it can and you cant argue with that.
The Reincarnation sort:
Get an array, completely delete it, and then reproduce a completely new array, do this until the array is sorted, then do it again.
The Heaven/Tax Return Sort:
Get an array, put everything in the wrong place, then go to a confessional and then claim it's all sorted.
The Capitalism Sort:
The highest 2 elements of an array of 1,000 elements are sorted, then the remaining 998 are utilized to ensure that these two elements are sorted.
The Communist Sort:
The highest number is sorted and the rest are assumed to be equal.
The Dictator/Russian Communist Sort
One element is chosen at random and assumed to be the highest, any element contradicting that is deleted.
The Socialist Sort:
The greatest element is distributed among the lower elements to make them equal.
The Republican Sort:
All odd numbers are taken to the bottom of the array and remain unsorted while even numbers go to the top and get sorted. Cause everyone knows even numbers are the superior number