If instead of "European Championship" you mean the continental championship of the continent where the team is located (since it is not possible for any team outside of Europe to win the European championship) then the answer is:
Santos (Brazil) - 1962
Celtic (Scotland) - 1967
Englebert (DR Congo) - 1967
Cruz Azul (Mexico) - 1969
Ajax Amsterdam (Netherlands) - 1972
Vita Club (Zaire) - 1973
MC Algiers (Algeria) - 1976
Liverpool (England) - 1984
Defence Force (Trinidad & Tobago) - 1985
PSV Eindhoven (Netherlands) - 1988
Cruz Azul (Mexico) (2) - 1997
Manchester United (England) - 1999
Hearts of Oak (Ghana) - 2000
Al-Ahly (Egypt) (3) - 2006, 2007, 2020
Auckland City (New Zealand) (3) - 2006, 2014, 2015, 2020
Waitakere United (New Zealand) - 2008
Barcelona (Spain) (2) - 2009, 2015
Internazionale (Italy) - 2010
Esperance (Tunisia) - 2011
Bayern Munich (Germany) - 2013, 2020
Hienghène Sport (New Caledonia) - 2019
Al Hilal (Saudi Arabia) - 2020
Manchester City (England) - 2023
- Santos (Brazil) - 1962
- Celtic (Scotland) - 1967
- Englebert (DR Congo) - 1967
- Cruz Azul (Mexico) - 1969, 1997
- Ajax Amsterdam (Netherlands) - 1972
- Vita Club (Zaire) - 1973
- MC Algiers (Algeria) - 1976
- Liverpool (England) - 1984
- Defence Force (Trinidad & Tobago) - 1985
- PSV Eindhoven (Netherlands) - 1988
- Manchester United (England) - 1999
- Hearts of Oak (Ghana) - 2000
- Al-Ahly (Egypt) - 2006, 2007, 2020
- Auckland City (New Zealand) - 2006, 2014, 2015, 2020
- Waitakere United (New Zealand) - 2008
- Barcelona (Spain) - 2009, 2015
- Internazionale (Italy) - 2010
- Esperance (Tunisia) - 2011
- Bayern Munich (Germany) - 2013, 2020
- Hienghène Sport (New Caledonia) - 2019
- Al Hilal (Saudi Arabia) - 2020
- Manchester City (England) - 2023