You can pad the wall before the cabinets are hung.

Ikea Sektion wall cabinets are 15" deep and Menard's Klearvue cabs are 14" deep.

Or use 18 or 24" deep over the fridge cabinets (usually only 24" tall) with an open shelf below?

as ci_lantro says, Ikea Sektion wall/upper cabinets are 15" deep, and you can install an internal pull-out drawer in it. With the drawer pulled out, the front is about 26" from the wall so I can reach it easily above the washer/dryer.

Here's a thread with some discussion on it.

HTH

I’m going to use 24” fridge upper cabinets in my update.

Hi, Emily,

The cabinets above our washer and dryer are 20" deep and work well for us. The increased depth allows detergents and other laundry stuff chemicals to be placed at the front of the cabinets where they are easy to reach. The storage at the rear of the cabinet is a great place for things that aren't frequently used-- as long as the clutter police don't have a warrant to search your home, that is.