Lemon Mayonnaise
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1 egg
pepper to taste
1 Tbsp. lemon juice
3/4-1 cup/200-250 mL olive oil

Put all ingredients into a bowl or beaker. Introduce the handblender to
base of the bowl, switch it on and hold in position until the oil
emulsifies.
From Braun Handblender booklet
This is also quite nice with 1/2 teaspoon of dry mustard powder and/or
garlic added.
For a more seafood-thousand island type dressing, simply add a
tablespoonful of tomato puree.