Hard to say exactly what colours to paint, but semi-gloss for everything as a sheen??? Oh my goodness. Trim in semi-gloss, by all means. Unless you are specifically going for a high sheen look, semi-gloss is an very unforgiving sheen. Benjamin Moore makes a Bath and Spa paint. It comes in only one sheen. Flat. It doesn't show steam etching and renders colours beautifully, especially dark ones.

Your ceiling colour choice seems to work well enough with your white tile surround which will be the most important match for the white. The proposed wall colour looks too taupe/mauve to work with your floor tile though. That is the match you need to be paying attention to.

Thank you, @Elizabeth Minish Design. I've never used semi gloss for anything other than trim and doors. My contractor told me that he'll only use semi-gloss in bathrooms. I have a pro account with Sherwin Williams, and went to their website, and that's what they recommend, too!

Thanks for the feedback about the wall color. If you have thoughts on what might look nice, I'd love to hear them. I tend to gravitate toward warm & neutral colors.

We had a similar color palette as you and just did our bathroom in SW gossamer veil and love it! Ours is North Facing so it doesn't get as much light. It is a greige for sure. We have marble tile and a warm tone flecked white quartz top.

Also this was done in Satin finish (semigloss) also at recommendation from SW and it looks perfect, not too shiny by any means.

Satin has a little sheen, but should

not be confused with a semi-gloss.