Inbox is always read, but has only "open" or relevant items. Once it's closed or out of date I put emails into project folders.
I turn off as many alerts as possible from Outlook and my phone, and only look at the inbox when I'm ready to look at it, cause any time I am pinged or see and alert, I just can't not look at, or I'll be distracted.
Work playlist full of Mozart, Beethoven, Tchaikovsky, beat music and the like to block out sound and keep moving.
Fill out a weekly to daily to do list on a post it note to keep handy of the tasks I need to do in a day. Very satisfying to cross those out/throw away post it not when those items are done.
Agree with the phone voicemail, having it lit up with a voicemail annoys me needs to be taken care of immediately.