There are many creative techniques and beautiful effects that utilize negative margins:
Font Image Swap - for those times when you're attached to a specific font but still want to use it, image replacement comes to the rescue. By applying negative margins, the regular font is pushed aside to make way for the "picture" font.
Image Hover Borders - by adding negative margins to an image equal to the size of the border, you can prevent the image and layout from shifting during a rollover effect.
Centering Objects - with the help of negative margins matching the dimensions of an object, you can effortlessly center it on the screen, creating a visually pleasing effect.