One example is that Volkswagen used to be state-owned until 1960. Afterwards, the federal state of Lower Saxony still kept a stake of slightly more than 20%, which combined with the requirement for 80% shareholder agreement effectively granted them a veto. That only changed in 2013 after it was found to violate EU regulations. https://en.wikipedia.org/wiki/Volkswagen_Act

Carl Zeiss AG and Schott AG are owned by a foundation managed by the science ministries of the two German states where Zeiss was founded and where it is currently headquartered, a structure which has its origins in the Zeiss firm's original incorporation in 1889.