Piwik/Matomo is more like Google Analytics in the way it works and what you can do with it. Ackee will never be a replacement if you need full-featured marketing analytics with tons of options and insights. Ackee tries to be less. Lightweight, easy to install and with a good balance between analytics and privacy.
What about vs. the old perl script, awstats? I'm still using that, amazingly, after like 15 years. It does the basics fairly well, if a little ugly. I'm always looking for new cool stuff though.