It's just a bathroom; have you tried to lay it out differently (with paper cutouts if necessary)? There are only 4 things that can move, so not so many options that you can't try some quick layouts.

There's no vertical dimension. We don't know any of the sizes there.

Do you need to put machines in a closet? Why not leave them open to the room? Seems like a lot of doors getting in the way of each other. You also get those 4" back beside shower - may be able to build linen/storage shelves?

Swap washing machine and shower.

If that top wall is an exterior wall you'll definitely benefit by moving the dryer against that wall and avoid most venting issues.

What's the restrictions, what can move, what can't?

Lol, my toilet looks at my machine.

Walls included?

Can the HVAC move? Can you give inside wall measurements in both directions? Which walls are outside walls?

"Not the exterior walls but the interior and door can move."
"Nowhere to move the HVAC this is where we are"

Well then it's not as restrictionless as annything can move. Please indicate which are the exterior and interior walls, and where and how much the interior doors can move, what rooms they divide from the bathroom, etc. A larger section of your floor plan would help greatly, even just a sketch.

Moss has it very similar to what i posted; mirror image of the bathroom. Good move to separate the bathroom and washer/ hvac areas. Makes the space smaler, but still quite manageable

I like Najeebah's set up the best. There's no need for the second door at all, and it makes the room feel more open.

Just be aware that moving a toilet is the most expensive plumbing maneouver. It might be ok here, because the actual waste line may not have to move, but check about when a new chimney pipe will be needed through the roof. (!)

Otherwise, Najeebah has the winner.

I like Moss Wong's option of moving the washer opposite the HVAC and putting in a door to separate the bath. You could use a pocket door to save space. Just be sure you have 15" from the center of your toilet to any solid object (vanity, wall, shower) and 21" of clear space in front of the toilet and vanity from any solid object to stay within building codes.

I don't know about shoe-horning the washer/ dryer into that tiny closet. How will you be able to access the water valves and make the exhaust connection to the dryer? Have quick access to water shutoff in the event a mechanical failure or leaky water hose? Is there enough space to maneuver the machines around the corner & to get them into the closet in the first place? You need room for the machines and the people who are moving those machines. What about needing room for cleaning the exhaust vent (which should be done on an annual basis)? Room to service & make repairs? Cleaning difficulty. Storing detergents/ softener/ spotters/ etc?

What about room to leave the door open (assuming front loaders) to prevent mold & mildew....all the more important because of the shower adding to the humidity level. (Make sure of a very good exhaust fan.)

I would much rather see those machines in a closet that opens into a proper hallway ...which is why we need to see how the bathroom relates to the rest of the living space.

If moving the toilet is a plumbing headache I'd go with the original design. I don't think having the washer and dryer in front of the toilet is a bad thing at all. It looks like a decent little bathroom to me.

What is the inside measurement of the toilet area? Personally, I'd remove the door from the toilet area and just use a half wall on the upper side for privacy. It's going to feel pretty cramped in there. My other thought is that I would switch the closet and vanity if the size is similar. Having your shower almost fully enclosed is going to make it very dark. If the vanity were to switch places with the closet, you could have full glass or a half wall with glass at the top.

Very good point made about learning the outside air requirements for the furnace. Now that I belatedly think about it, there is no way--if that HVAC unit is gas fired, natural gas or propane, no way that it can be allowed in a small space with an exhaust fan and a vented dryer. Obvious reason being that carbon monoxide from the heater getting sucked into the living space.

In the latest rendition with the toilet in the space where the W/D was--what is the point of putting the toilet in a closet. Anyone using the toilet can't close the bifold door. Bifold doors are miserable enough when they're closet doors that you operate only once a day...I sure wouldn't want to use them for a toilet enclosure that is used multiple times a day. Another reason to avoid them is that they are pretty flimsy as a rule and prone to having hardware components break and wear out.

Why not take the toilet out of the closet, turn it to face the lavatory? Aside from the closet not meeting code and being horrendous to actually use, those walls are eating up floorspace.

One other concern...is there enough room to actually get into the shower?

Much better!

the progress made is AMAZING.