>> Your IP address, browser and OS (via user agent), the website you visited, the pages you visited, time of visit, the site you came from (via referrer) are all personal data.

No. These are all not considered PII. Only the IP address in this list definitely is.

All other information with a wholly anonymized user would be considered by most interpretations to be ok. Often it depends on the context and presence of other meta-data on whether something is PII or not.