In a pie pan, beat the eggs with a fork. In another small bowl, combine the sugar, cinnamon and nutmeg.
Heat a grill pan or large skillet to medium and add some of the butter: half if you can fit four slices, or all if you can fit all at once.
Add the cream, vanilla and spices to the eggs and beat together to fully combine. Dip a slice of bread in the mixture, turning to fully coat, and put on the pan. Dip the bread only if there's room in the pan for it; you don't want it to soak in.
Fry the bread for a minute or two. Keep a close eye; you want the outside to be golden but not burn. When it's done, flip.
If you want to, turn thick slices on their edges to cook for 30 seconds.
Repeat until all the slices are cooked. Serve immediately!