Since I have updated Chrome from Version 40 to 41, I no longer can access my ssl site running in a local tomcat 7 instance. I have a self signed certificate.
Chrome just
If you came here from Google and since this is the highest ranking 'ERR_SSL_VERSION_OR_CIPHER_MISMATCH' entry:
another explanation is that you started an nodejs https or express server with invalid or empty credentials. The irritating bit is that the server starts without complaining and ssl seems to work, but the negotiation between browser and server fails with this error.