Email app to disclude/include certain emails only for notifications?

[bltpyro]

I tried searching for something like this but didn't come up with anything. I was wondering if there was a way to filter what emails you get notified for. For example if you get a ton of emails, but you know emails from a certain person are urgent, you can set it to only notify you of new emails from that one person. Then you aren't bombarded with notifications of emails that you can check at your own convenience. Another example would be to allow all emails to give you notifications except for newsletters from certain sites. Are there any options or apps that allow this type of filtering?

Thanks,
Brandon