I need to get this out of the way up front: Mayonnaise is basically eggs and oil. You're going to be freaked out here, but remember: Eggs and oil.
Keeping that in mind, I would like to suggest that you try making pancakes - yes, the sweet kind, the kind with maple syrup - with mayonnaise in them.
The brave souls at Food52 tried out a Japanese pancake recipe that made the rounds not long ago, with mayonnaise and sparkling water in the ingredient list. The recipe procedure's non-standard, too, compared to Western pancakes - you mix eggs, sparkling water and mayo in the same pot that the pancake cooks in, then add flour as you cook it over a low flame.
The results is a tall, spongey pancake with a hint of tartness. It plays well with syrup and would be great with fruit in it, too. And did I mention you'll dirty zero bowls in the process?
And then make a mayonnaise-fried grilled cheese for lunch.