I agree with tns2. The Aol Spam filter is far superior to Verizon's.
However, If you want to do something in the interim, try this.
It's only a workaround, not a real solution. One of the forum moderators suggested the core part of it, then I tweaked it a little. It works on the principle that most spam is sent as a BCC, and is not addressed TO the sender.
Log into webmail and go to Settings>Email settings>filters>add new filters. Set up a new rule that says "IF To: or CC:" does not contain <your email address>, then move messages to trash. I created a folder that I called "filtered spam" and have the messages moved there instead of trash so I can go back in and make sure the filters aren't catching anything I really want.
Because I use the "Always BCC myself" feature on my iPhone and iPad, I then added a second filter that says, "If From Contains <your email address>, then move messages to folder Inbox." This allows the BCC's to myself to be delivered.
The glitch is if someone legitimately sends a BCC, I don't get it. I have added several additional filters to allow some low tech newsletters that I get to be delivered. Those rules read, "If From Contains <e-mail address of the sender> Then Move messages to Inbox." It is also possible to put a domain name in the filter in lieu of an e-mail address, if you want to be certain that all BCC's from that organization come through.
This solution isn't perfect - some spam still gets through. But, over the first week, it filtered out 450 spam e-mails and only allowed 7 spam e-mails through. Over this same period the filters caught 2 valid e-mails.
So, it's not perfect, but I find that it is still a lot better. I hope this helps.