Wikipedia
The roots of EUnet (originally an abbreviation for European UNIX Network) go back to 1982 and the first international UUCP connections. From a very loose collaboration of individual sites under the auspices of the EUUG (European UNIX Users Group) (later EurOpen), it evolved to the fully commercial entity EUnet International Ltd.
In April 1998 the company was sold to Qwest Communications International, which in turn later merged EUnet into the illfated KPNQwest. Some of the ISPs operating under the name EUnet today can be traced back to the original EUnet, some not.
Most national EUnet affiliate or subsidiaries predated other commercial Internet offerings in the respective countries by many years.
To completely understand the importance and history of EUnet, it is important to realize that till the early 1990s nearly every European country had a telecommunications monopoly with an incumbent national PTT and that commercial and non-commercial provision of telecommunications services was prohibited or at least took place in a legal "grey zone". During the same period, as part of an industrial political strategy to stop US domination of future network technology, the EC embarked on efforts to promote OSI protocols, founding for example RARE and associated national "research" network operators ( DFN, SURFnet, SWITCH to name a few).