I wanted to throw another neutral "not white" color out there for your consideration - Sherwin Williams Kilim Beige.
https://www.sherwin-williams.com/homeowners/color/find-and-explore-colors/paint-colors-by-family/SW6106-kilim-beige#/6106/?s=coordinatingColors&p=PS0
https://www.google.com/search?q=sherwin+williams+kilim+beige&client=firef ox-b-1&source=lnms&tbm=isch&sa=X&ved=0ahUKEwjc86f00uzbA hUK3IMKHRv6DnEQ_AUICigB&biw=1047&bih=445
This was recommended to me by a painting contractor friend and it's become my go-to paint - it's a beige that has NO weird undertones. No green, pink, or yellow, so it works wonderfully with just about any other color that you want to use with it. I've used it with red, blue, AND green, and it looks great with all of them. I also have white woodwork in my house and it looks very clean and crisp with it.