Set a wide skillet on medium heat and let it warm.
Whisk eggs milk sugar salt and pepper in a shallow bowl.
Build four sandwiches with bread ham turkey cheese then top with bread and press lightly.
Dip each sandwich on both sides in the egg mix and let extra drip away.
Melt butter in the skillet then add two sandwiches and cook until the first side turns deep gold about three to four minutes.
Flip with care and cook the second side until the cheese softens and the bread looks crisp about three to four minutes more.
Move to a rack then cook the rest. Dust with a small touch of powdered sugar if you like. Serve warm with berry jam.