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Plausible Analytics
Simple, open source, lightweight (< 1 KB) and privacy-friendly web analytics alternative to Google Analytics.
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InfluxDB
Power Real-Time Data Analytics at Scale. Get real-time insights from all types of time series data with InfluxDB. Ingest, query, and analyze billions of data points in real-time with unbounded cardinality.
You log the IP address, referrer, user agent and the requested page URL but you don't set a unique cookie to identify the user.
This still gets you plenty of actionable analytics information: where geographically people are located (via GeoIP), what pages are most popular, what platforms (including desktop vs mobile) people are using.
I've been using https://plausible.io for analytics on a bunch of my sites for a couple of years now and I honestly don't miss the extra level of detail I got from cookie-based analytics I've used in the past.