No matter how many times I do the unsubscribe thing I can't stop the countless junk emails I get daily.
Any advice to make them stop ?

Use the Junk Mail filter and add that domain(s) to block sender?

Unless it's reputable source (like a retail store or respected company), clicking the unsubscribe button just verifies to spammers that the email account is active.

I had the same problem and you have to bring it to your provider's attention. For verizon it is spamdetector.notcaught@verizon.net which I got by googling 'verizon spam' or something like that.

I had this guy who wanted everyone to know about his blog and sent pretty much every other day, even after I asked him politely (and then not so politely) to stop. After 2 weeks of it I found the verizon service, never heard from him again.

I also find that getting your email remotely through the internet rather than through an app (I use Outlook Express) gets you a chance to look your email home page and you can find not only options for reporting spam but you also can open your spam file to see what is there. For instance, I'm in the apartment business, so occasionally a prospect's email gets put in the spam file. I have both verizon and comcast accounts, so I do this frequently.

NEVER Click on the Unsubscribe link......that just tells them they got a live one

Get a good spam filter.

Get a gmail account. You'll still get spam you'll just never see it as it gets diverted with impressive reliability to the spam box.

I'm some what careless with my email address these days since I'm that confident in gmail's ability to spot spam. It's basically a non-issue, at the most once every few months something will sneak into my inbox.

Some other email providers I have to think aren't even trying. When I hear stories of horrible spam I almost can't understand how it still occurs after switching to gmail.