Warm white or greys would work well for walls. https://www.dulux.com.au/colour/whites-and-neutrals/most-loved?gclid=EAIaIQobChMIwbzrqZaM2wIVzTUrCh0ALAneEAAYASAAEgLvKvD_BwE&cid=ppc%7Cgoogle%7Cdulux.com.au_main%7C%7CSpring_Oct_2017%7C%7C%7C%7C%7C%7C%7C%7CBrand+-+Colour+-+Specific%7C%7C%7CBrand+-+Colour+Whites+-+EM%7C&s_kwcid=AL!4713!3!266934234389!e!!g!!dulux%20warm%20white&ef_id=Wv0opwAABZ8L@CUB:20180517070055:s

I Agree with KK1000 & Julie - the navy blue will look fabulous. If you want to bring out the brown, consider it when selecting accessories; Julie's image is a great example of artwork in the space. I'd consider a feature light in either side of the basin if you have the room (its hard to tell from the photo) or perhaps above the mirror. The navy will be quite dark and you can add a bit of wow with a light as well as give some illumination for applying makeup etc from the right direction. Assuming of course that the shower will have a glass panel (to keep water away from any electrical fixtures)? Seek guidance from your electrical on the appropriate zones for elec fixtures and IP ratings suitable to the installation.

Yeah I know what you mean... I have to paint it anyway as it needs repainting and the colour that is there has a pink undertone which really bothers me. not a pink person at all... So you would suggest just staying with an antique white or something and just adding all my colour with accessories?

I agree with Jan -- a lot is personal , and your lifestyles . You say neutral colours , so a wheat type colour for the carpet is a good middle of the road choice , but maybe not practical with kids who like crayons and facepainting and stripping down motorbikes haha . So in that case , maybe a burgundy or mid blue or similar 'solid' colour may suit better ( burgundy may tie in more with the exterior tones ) , but is still sort of neutral , but what about furniture and linen and artwork -- if you have royal blue or fluro green drawers and a brown chair and sunshine yellow duvet/dooner cover , and the room is for someone older than 4 , then burgundy carpet mightn't be the go haha . The existing wall colour works with most things , you can add artwork or posters or sports or academic certificates -- maybe back to front , but I'd sort out everything else ( carpet , furniture , etc ) before deciding on a wall colour , unless sticking to the existing or similar colour .