My daughter has same type closet. She did not put in a hanging rod and shelf as you have pictured. She put 10” deep shelves on entire length one side wall for shoes/boots (stored sideways)and baskets for small stuff like hats. Other side wall has staggered height hooks for coats and backpacks. The middle ”aisle“ is narrow but works. This arrangement holds a lot and stays neat because everything has a place.

I would love to see how she did it because I don’t know how to use the sides when the side walls literally but up to the frame of the door. My walk in closet in the second largest bedroom has at least 11” depths on the sides for me to allow them to be used. Here all I can think of is doing like wall hooks on the sides

This appears to be a kitchen pantry, but you could add hooks on one side.

This blogger’s website was catzinthekitchen.com (sorry, I am unable to link).

Can we at least have the size of the space. IMO sorry but you will need to have some rules and one coat perperson is a start and backpacks go to bedrooms and shoes go there too. There are coat racks that pullout from the wall that sometimes are the answer in a deep space . We had 3 kids and no coat closet it can work but what you show is a bunch of stuff not belonging in a coat closet so maybe purge that stuff then see what you need.

Measure it carefully and go to a closet store website to see what the options are. Usually they have apps that will show you what you can do and what pieces you need to achieve it and the cost. By measure carefully, I mean measure things like width at the front and the back. I had a deep closet where the width at the back was a good inch different from the width at the front.

If you have substantial season gear, I'd put in a second rod in front and use the back rod for out-of-season stuff. It will be a pain when you want to get out/put away your parkas and mittens, but twice a year isn't that bad.

We had a closet company here is Florida design 3 closets. For small spaces you need to be able to use every inch efficiently.

While we used California Closets s for our DD’s co-op, there are many reasonably priced family-owned business and we went with one in Florida.

I would have a few come to your home and see what they can do.

I'd try a shelf and closet rod sideways, so you can walk in for additional storage.

The shelves (wooden, made by my husband) do jut beyond door frame but the edges are widely rounded on entrance side to prevent kids getting poked in faces. Once in place, you just get used to them. Daughter didn’t think space would work but it does and is efficient for size.

Look at the ELFA closet system from The Container Store to get some ideas.

I'd build in shelving where you have the hanging clothing, and then use hooks to hold your jackets. On the wall opposite the jackets you can have higher hooks for hanging the military(?) hats/caps.

Don't forget the back of the door. Those hanging shoe pockets can hold lots of mittens and scarves, or other things. I have over the door wire baskets in hall closets and pantry and found the bottoms of plastic juice jugs ( square shaped ones) make great little bins for little stuff. Think about what might fit in the tall sloped space above door with one of those stuffed animal hammocks. We have sleeping bags and extra blankets stuffed to the ceiling in hall closet. We stored luggage in the deep slanted space under the stairs.

I agree with the others to use the side wall. The natural inclination is to load up the back wall, but consider taking the kitchen pantry approach. Hire a local carpenter to construct simple custom "built ins" all the way up one side to the ceiling. Leave the other side open for easy access in and out. You could incorporate a clothing rod. Yes, the side of the cabinets will jut out past the frame, but step the system back a bit (1 1/2 ft or so away from the door), paint the side facing the door a pretty color, wallpaper it, or incorporate small front facing shelves, and use that open corner for hooks, your vacuum cleaner, etc. Good way to support a local trade! Carpenters are great for oddly shaped spaces. One turned a V-shaped corner in our house into a lovely workspace.