Sail White by Crown. £20 for 5 litres. It has a grey-ish tinge in the tin, but dries to a white that is - to my eye - a little warmer and more characterful than a brilliant white. I use it myself for a lot of the work, but I had a decorator round for another job recently, and he did a ceiling in it - and was impressed with the quality of the paint, coverage, ease of application.
Maybe don't go brilliant white on the woodwork and choose a soft light neutral instead?
Some designers say that
a) brilliant white is actually quite demanding - needs a lot of light to bounce around the room, so great in California, less so in rainswept Britain and
b) if you use brilliant white to pick out all the skirting boards, architraves, window frames, doors, you are emphasising the edges of the room and possibly making it smaller.
c) don't simply default to brilliant white for the ceilings.
I'm trying to move towards more colour in the rooms of the house, but I use Sail White in areas of high traffic where the walls can quickly look ratty and being able to touch up paintwork easily is useful - so hallway, stairs, landings. But with high ceilings, this can look like a lot of white and a bit clinical, so I am working hard to get artwork up on the walls and add colour and personality. Also, this draws the eye away from imperfections! Maybe plan your artwork alongside your paint if you are going for lots of white?