I really hadn't paid attention to whites until I added 'Lullabye Baby' to my beds. While it's listed as a near white with pink tinge, in my garden it looks white unless you're very close to it...simply glows (see attached photo). After that I've been hooked. That was a year ago. I added 'Mal' last year that's a near-white and this year am adding additional fans; have also ordered 'Wedding Band' and, if I can find the space, will probably add a few other cultivars.
My ultimate goal is to find 'Wedding Gown' which (in my personal opinion) is one of the most beautiful near-whites I've seen.