Let's make a list of dishes that use lots of eggs.

Ice cream uses a lot of yolks. Paired with meringue cookies it is great way to use up eggs. I also love alice medrich's chocolate mousse recipes that use eggs instead of dairy.

More egg-centric foods:
mayonnaise
aioli
hollandaise sauce
Eggs Benedict
Eggs en cocotte
Genoise (sponge cake)
French Nougat
French Buttercream frosting
Swiss/Italian Buttercream
Zuppa Inglese or English Trifle
Pavlova
Eton Mess

Chawanmushi or gaeran jim: savory steamed egg custard
Iles Flottantes
Pickled Eggs
Salted Eggs
Migas
Egg Curry
Creme Brulee
Tea Eggs
Scotch Eggs

Flan!
http://food52.com/recipes/search?q=flan

Shakshuka:
http://food52.com/recipes/search?q=shakshuka

chilaquiles, huevos rancheros, a poached egg on top makes anything taste better! We put boiled eggs on salads, and who doesn't love an egg salad sandwich?

Another dish to keep the hens happy: oeufs a la neige.

Avgolemono is the best. Put that at the top of the list.

Perhaps you should define what you mean by lots of eggs. A standard recipe for avgolemono soup serving four calls for three eggs--less than one egg per person. Kaiserscharrn (also serving four), a fluffy pancake served with fruit compote calls for 4 whole eggs plus 12 whites--a lot of eggs, but when you get down to it, not many yolks.

Egg salad

Souffles and macarons

Shakshuka

And custards/puddings.

Pasta.

sabayon (zabaglione)...creme caramel/flan...quiche...matzoh brei...

Crème Anglaise

Deviled eggs