>>For some reason I have some PC's that can't connect to some websites. (using IE or Chrome)
>>
>>I see this..
>>
>>A secure connection cannot be established because this site uses an unsupported protocol.
>>Error code: ERR_SSL_VERSION_OR_CIPHER_MISMATCH
>>
>>Anyone know what could be causing that???
>
>Al's provided the answer. But FWIW last time I looked:
>
>IE has an option to accept SSLv3
>Chrome can use it if started with a command line switch.
>Firefox is about to remove support.
>
>IAC probably not a good idea to allow it...

Ok I did see some settings to enable SSLv3 - seems to of worked (kinda) for IE, but not for Chrome - and it looks like the latest version of it (Ver 40) they're removed support for it.
It's really just one company's website(s) that are causing the problem - so not a huge issue for me - but it's sure nice to know that caused it :)