Google Inbox basically does this automatically for me. It has learned which email addresses I correspond with for work and other important topics, which it push

Google Inbox basically does this automatically for me. It has learned which email addresses I correspond with for work and other important topics, which it pushes directly to my inbox. It also automatically bins other emails into categories such as forums, commercial promos, social (newsletters and what not), which arrive in a single bundle each morning or each Monday morning. These bundles can be opened to see individual emails or archived as a bundle with a single click. Definitely feels like an opt-in experience to me, and far better than previous email solutions I used.