An example of those very few would be NATO Airborne Early Warning & Control Force, main base located in Geilenkirchen, which is permanent organisation with mult

An example of those very few would be NATO Airborne Early Warning & Control Force, main base located in Geilenkirchen, which is permanent organisation with multinational personnel operating IIRC ~13 Boeing E-3A sentry aircraft. Most other cases involve complete national units that are on permanent or temporary basis assigned abroad to another base, and some of them are also put under aegis of NATO operation, for example "Baltic Air Policing" mission - but this example involves a squadron from a NATO member's air force being rotationally assigned to bases in Baltics in order to provide Air Defense.