The two anti-chess variants anti-knight and anti-camel cannot both exist on a sudoku grid with the standard 3×3 nonets, so I’ve removed the nonets!

 In chess, a knight moves 2 cells horizontally and 1 cell vertically or vise versa.  Since this puzzle is anti-knight, none of the red X’s below can contain a 5 because the center cell is 5.

In fairy chess, a camel moves 3 cells horizontally and 1 cell vertically or vise versa.  Since this puzzle is anti-camel, none of the brown X’s below can contain a 5 because the center cell is 5.

 This puzzle comes in two versions.  Click here for the INSANE version:

Click here for the BRAIN version:

solution - final

This text file contains the codes for the cages in both versions. To make them work with PerfectSudoku, you will need to change the tags at the beginning from 1×9 to 3×3