From my reading it appears to me that NATO has never initiated a war but only reacted to conflicts already happening? Is this interpretation correct? I find it important to answer as many pro-russian sources claim NATO to be an aggressor, but I have the complete opposite impression.
The list of NATO operations (List of NATO operations) indicates that NATO never started a war but only intervened.
Also List of wars 1945-1989 does not indicate that NATO has ever started a war.
I'm not interested if members of NATO have started wars themself (e.g. US did) but if starting a war was ever part of a NATO mission.
Since many comments are about what consists starting a war. I would suggest to use the term aggression prevalent in international relations.
"(a) The invasion or attack by the armed forces of a State of the territory of another State, or any military occupation, however temporary, resulting from such invasion or attack, or any annexation by the use of force of the territory of another State or part thereof,
...
(g) The sending by or on behalf of a State of armed bands, groups, irregulars or mercenaries, which carry out acts of armed force against another State of such gravity as to amount to the acts listed above, or its substantial involvement therein.
Definition of Aggression, United Nations General Assembly Resolution 3314 (XXIX).
Following the definition of war by Oxford dictionary:
"a situation in which two or more countries or groups of people fight against each other over a period of time."