Make Your Own Big Mac At Home . . . . .

Homemade Big Macs
Serves 8

2 pounds Niman Ranch ground chuck or other high-quality beef. (Or, go all the way and grind your own meat. Try using Brisket.)
1 head romaine lettuce, shredded
3 fresh pickles, sliced thin
8 hamburger buns
5 ounces organic mild cheddar, sliced thin

Special Sauce:
1 large shallot, minced
1 1/4 cups extra virgin olive oil, divided into 3/4 cup and 1/2 cup portions
2 tablespoons Champagne vinegar, separated
Organic ketchup (Happy Girl, if you can find it)
1/2 cup organic cane sugar
1 egg yolk
2 tablespoons sweet relish
2 teaspoons lemon juice
Seat salt
1 tablespoon Paprika

Homemade Aioli
In a large bowl, beat together egg yolk, 1 tablespoon vinegar, 1 teaspoon lemon juice and a pinch of salt. Take a kitchen towel roll it into the shape of an “O.” Place your bowl on top of the towel – this will prevent it from moving around when whisking the aioli. While whisking, add a few drops of olive oil. Keep whisking, and add a few more drops. And a few more. When your sauce begins to thicken, add olive oil in a very slow stream, whisking constantly. Your arm should hurt at this point. When all of the olive oil is incorporated, taste for salt, and add last teaspoon of lemon juice.

French Dressing
In a separate bowl, whisk together ketchup, sugar, minced shallots, 1 tablespoon sweet relish, 1 tablespoon vinegar, paprika and a pinch of salt. Whisk in ½ cup of olive oil in a slow stream.

More info here (LocalLemons)