Hi,
I would leave the bath where it is in the first pic on the right hand side wall.
Put in a quadrant shower enclosure top left along the left hand side wall. Reason for quadrant is the space is tight and having the corner chopped off will make a big difference to the floor space and look of the room.
Sink could go immediately to the right as you come in the door between the door and the bath. Storage under the window.

Is there a toilet in this room? If not - as with many older houses it could be in a separate room next door - perhaps knock through , which will give you more space to play with. Or carve some space off a nearby bedroom.

Or put the shower over the bath. Creating a wet room is expensive and as Rinked says, you don’t really have room for it.

Thank you everyone for your comments! We are a family of 5 and prefer a separate toilet room. Looks like i need to compromise somewhere. Thinking about shower over the bath, wonder how to do a nice floor drainage in that case and is it practical?!

If you're thinking of sticking with a freestanding bath with no screen or curtain around the shower, you are still creating a wet room. If that's what you want and you have the budget for it, it could work - but as I mentioned earlier wet rooms are expensive as you have to tank the room (as far as I understand it). I also personally don't like them because a lot of the floor gets wet and there are splashes everywhere - more cleaning and it's difficult to get dry! Maybe I've only experienced badly designed ones though...

The other option would be to have a normal bath (not freestanding) with a screen, or a freestanding one with a screen or curtain (if you google you'll see a few examples). You can get clawfoot rolltop baths which look freestanding on the visible side but are actually fitted against the wall so that you can have a shower above them.

How about a back-to-wall bath? And yes a floordrain is great for any bathroom, easy when cleaning the bathroom (and with smaller kids splashing around in the bath).

With a family of 5, a double sink could be nice. (120x45 in drawing). Make the door swing outward to make it fit.

I'm with @rinked, a shower over a claw foot tub that backs up against the wall seems like the best compromise. I'd go with your first layout, push the claw foot into the right hand corner and pop a tall slim radiator between the door and the bath. Maybe even reduce the door down to 762mm or 686mm (after you've fitted everything in of course!).

Would it be possible to move the door over into the centre of the wall? If so, then you lose less space on circulation and could then have free-standing bath on one side and walk-in shower and sink on the other.

Thank you @rinked for this layout, makes sense!

And thank you @colourwisedesign.com, I haven’t thought about moving the door. It’s not a straightforward decision, but i will play with it, may be something will come up.

Thank you @wumi! It’s look beautiful. And this is kind of what we have at the moment. But we don’t like to be faced from the window. It’s good for reading but I always feel wrong in this position looking at the wall and not at the sky and light…

Hmm. Maybe you could move the door as @CWD suggested? @rinked’s layout flipped over.

My bathroom is almost the same dimensions as yours and like you I want it all - separate shower and bath. I need to put a toilet in there too!! I had to give up on the freestanding bath idea and go for a built in with the corner cut off but I reckon it will all fit. Fingers crossed. Some freestanding baths are very oval shaped which will give you more to shower next to it but the space does look tight with the door placed where it is.