On the Wall
Make use of the space and surface area on the wall rather than the floor or on top of your washer and dryer. A mounted drying rack easily folds up on the wall rather than taking up valuable real estate on the floor, making it easy to navigate the laundry room while your delicates dry.
Switch out any containers and hangers that don't match. From baskets and boxes to shelves, anything made to hold laundry essentials should be close to the same shapes and sizes if possible. Having consistency maximizes space, creates order and makes the room easy on the eye.
Make use of vertical space. Multiple shelves allow you to add surface area; the more you stack on just one shelf, the less organized it will look and feel. The more items you can disperse on shelves, the fewer opportunities you'll have to let things get out of hand. For lower shelves, consider making them the same size as your laundry baskets. This allows more space to put them away when you're not washing clothes.
Figure out what products you need to clean your dirty clothes, discount bedding and bath towels. Most people only need detergent and fabric softener. Anything more than that could be clutter. Get rid of the starch, fabric protectors, or products promising the ultimate whitening power. Keep only what gets the job done and you'll have a clean laundry room and a clear head.
The laundry room is a place to clean your clothes, so it should be a clean room. Making a few adjustments will help you keep the space neat and manageable. Reducing opportunities for clutter makes laundry time less of a chore and more of a pleasure.