Cox blocking content from AMC Theatres

The process for Cox to have blocks of IP addresses removed from a blacklist (perhaps even multiple blacklists) may take some time...  and might even cost Cox money to do so. Some of these blacklist "services" are not particularly stringent about the criteria for blacklisting IP addresses. Web site and email operators subscribe to these services to minimize spam and other malicious ip addresses. In addition, some blacklist service providers are more legit than others (and more expensive for the web site or email service operator to subscribe).

There is not a lot an individual subscriber can do as typically only the owner of the blacklisted ip address (i.e. Cox) can request the removal from a blacklist. In the meantime, one could subscribe to a VPN service. Using a VPN would effectively provide you a different public IP address... one that is not blacklisted. Be sure to choose reputable VPN service.