I mow mine, but I
believe (emphasis added 'cause I'm not legally qualified
) that the general rule of thumb has always been that your land ends at the letterbox / front fence.
I know that some individual local councils can create their own by-laws and whatnot so that may vary. In NSW there's a thing called the Inclosed Lands Protection Act 1901 (yes, it's apparently still current) which says that your lands can be "inclosed" even if you don't have a fence around them. How that works with a local council I've got no idea. I don't have a front fence, so I mow it all.
In the ACT I've seen squads of people turn up to an area and mow everything - parks, median strips, footpaths - and then disappear, but the ACT is governed differently. (I know, I know...)
Peter, it may be time to sit back and watch others do the work for you.