If you're like me you probably have an inbox full of crap to look at everyday.  I would hope you have a business account with G-mail or something.  If you don't go through that list on a daily basis it could grow so large you will just want to delete everything!
You should actually take time to go through that list for several reasons, here are just a few of them...

1. You should delete/unsubscribe to the totally useless ones, you know the ones you get all the time and don't even hesitate to delete. Make your life easier and just unsubscribe.
2. Just because you have a ton of e-mails doesn't mean they are all crap. Some of the e-mails you delete could actually be something you could really benefit from.
3. If you get used to going through your e-mail list you will get into the habit of doing it all the time, when you do it everyday your inbox won't get so overcrowded. And it's a good habit to be in.

You can waste a lot of time in this business, so get yourself in some sort of pattern. Check your personal e-mails last, go through your e-mail list and do what you have to do. Don't waste time clicking around, give yourself a timeline.  Tell yourself I'll spend 2 hours on the computer and the first 30min will be e-mails, the 2nd 30min will be blog posts or writing articles or solo ads or whatever you like, just don't waste your own time.