Specifical, I want to know about the Struck & White badge. I seem to remember at one point that the number of edits to posts that I have made appeared somewhere on the page, but it doesn't seem to be visible at the moment (not displayed on mobile perhaps?)
Review tasks shows a bar and a hashmark.
Generalist you can check by examining your tags.
Deputy (helpful) flags are displayed just below you logins.
Fanatic (consecutive days) are displayed on your profile.
Are there any tags that don't display your progress?
It might be best to have a complete listing of how to find out your progress for each badge.