Don't know if the above is meant seriously or not (the reason people don't switch from a piece of software is lack of familiarity, never ignorance), but I've had luck installing Piwik (which has now changed name to Matomo) for a few clients.
It works very much like Google Analytics and is not log based but should otherwise tick all your boxes. Installation is very straightforward but the using the dashboard, reporting etc. has a bit of a learning curve.
Nothing can ever compete with Google if you need statistics for "single middle aged mothers in a major city" simply because few others can profile users at that level but although it looks impressive it's not always correct and can be hard to use correctly. Piwik has great reporting tools and is easy to integrate with other systems.
It's also less likely to be blocked by adblock lists.
It works very much like Google Analytics and is not log based but should otherwise tick all your boxes. Installation is very straightforward but the using the dashboard, reporting etc. has a bit of a learning curve.
Nothing can ever compete with Google if you need statistics for "single middle aged mothers in a major city" simply because few others can profile users at that level but although it looks impressive it's not always correct and can be hard to use correctly. Piwik has great reporting tools and is easy to integrate with other systems.
It's also less likely to be blocked by adblock lists.