OK, I do know a bit about some of the colours you mentioned. It's hard though, what I think is nice might not be the same as you!
Second vote for slaked lime being nice. It really changes depending on light/what else is around, I have Slaked Lime mid in the living room, and in daytime it looks white or almost slightly grey blue, but is a warm very pale grey/beige in dimmer lighting.
Shirting is my go to white. It's my favourite white in the world. Bright and soft - not too icy. I could rave about it for days.
Gauze is a funny one. It's sort of a traditional grey-blue but I find it a bit oppressive or something. It seems a bit one note. And it looks quite blue, rather than grey, weirdly.
LG have recently released a grey range (fitting in with current trends I suppose!) and some of those are really nice. I like ceviche and fescue - they're greys but slightly warm and would go nicely with blue I think.
Some of my kitchen cupboards are a similar colour to your tiles I think, and I have a shirting wall in there and it looks great. On the other hand I think blue and grey can be really nice, and looks less nursery/marine than blue and white.
About durability - LG intelligent eggshell is great for hard wearing walls ime, but for woodwork I'd probably use oil based. I've found that really good.