Beat the eggs in a food processor on the highest setting until a creamy consistency is achieved.

Add half of the oil very slowly, one quarter-cup at a time. The mixture should begin to solidify. Tilt the food processor slightly to the side to let air into the mixture.

When you have poured in about half of the oil, the mixture should have the consistency of yogurt. Add in the lemon juice, honey and any other flavors, if desired. Blend well to combine.

Add the remaining oil very slowly with the food processor still set on high speed. If a layer of oil forms on top, stop adding oil until it is all incorporated.

Add the salt and pepper and mix until completely blended. Transfer the mayonnaise to a jar, cover tightly and refrigerate. Its consistency will firm up as the mayonnaise chills.