It seems we don't have the "LOG" entry on any of our access lists. Is there a way to globally turn this on so it logs all access lists to the syslog server or do I have to enter this one by one on the ASA command line or ASDM?
106100 is a level 6 (informational) message, so you would need your global logging also set to level 6 (or 7) for it to start appearing.
I'm not suggesting to change the severity of the message but rather your GLOBAL setting.
Can you share the output of "show run logging"?