I sometimes get obsessed and command+click (MacBook shortcut for opening a new tab) on pretty much every single question on the homepage. Then from there I'll click on related questions within those questions, and also on users I respect to see what they've answered lately. Within a few short minutes, I'll have about 50 tabs open. Then I read through them all while listening to the latest Wolf podcast. Good times.
Usually, I'll follow the related posts link when reading a post. Gets a lot of new and previous information out in the open that would otherwise be buried. I usually only visit the homepage, so this is how I "dig deeper"