First, place the fries onto a baking sheet and cook them according to the directions on the package.
Now, in a medium sized bowl, whisk together the mayonnaise, ketchup, mustard, sweet relish, white vinegar, salt and pepper.
Then, place it into the refrigerator for a few minutes to let the flavors blend together.
Next, melt the butter in a medium sized skillet and add the diced onions.
Now, lightly season the onions with salt and pepper and cook them over medium high heat for about 10 minutes or until they are golden brown.
Once the fries are cooked, turn off the oven and add the slices of American cheese, side by side, so the fries are covered.
Then, place the fries back in the turned off oven for about 5 minutes or until the cheese is melted.
Now, sprinkle the cooked onions on top of the cheese fries.
Finally, remove the animal style sauce from the fridge and top the fries with it and enjoy!