I am trying to keep a noisy mailing list out of my Gmail inbox (and I don't want to switch to https://Inbox.google.com just yet). It's not a noisy list per-se; there's a lot of signal (good information) but I'd prefer to keep it out of my inbox, except for the few posts that I participate in. I don't see a way to do this, which might just convince me to use Google's Inbox app.
Inbox.google.com combines many similar emails, either from a mailing list but also by the type of message, eg groupon deals) into a single item in your inbox.
By the way, does anyone else have a huge Gmail inbox? Mine has 127,000 unread messages, going all the way back to 2005 when I first created it. It just got out of control and unmanageable. I do skim over all of the subject lines and read emails directly but I don't open reach one.