I want to add some information about this isse from my side:
I am an employee of Electronic Arts, and I maintain the EA browser game "Command and Conquer - Tiberium Alliances".
Recently, we deactivated the SSLv3 protocol on all of our game hosts to avoid any security breaches by the POODLE attack, setting TLS 1.0 as the minimum SSL protocol.
After that, several users reported that they could not reach the game with any browser anymore, with the same error as the OP describes. It turned out, that this is caused by the Scan SSL feature in Avast (ESET has the same problem, btw). As soon as this feature is deactivated, the users can reach our game with every browser normally.
For reproduction, try to access the fowllowing URL with activated Scan SSL feature in Avast 2015.10.0.2206:
https://prodgame07.alliances.commandandconquer.com/ with any browser.