Your bullet points are listing military action that were explicitly not NATO missions.

• The Vietnam war was not a NATO operation, since neither the US nor France was attacked. NATO is a defensive alliance.
• The Falklands War was an attack on UK territory, but since the territory in question was outside of Europe it didn't count for Article 5. That's because of limitations defined in Article 6. Article 6 does mention Algeria (because of France doing France things) but since Algeria is no longer under French control it's been rendered moot. There is some debate that Spain's little exclaves in Morocco may fall under NATO protection, but that's a big stretch. But no, NATO does not protect overseas territories that are holdovers from colonial times.
• UN peacekeeping operations are UN Peacekeeping operations. While NATO members often contribute to these operations (just as non-members of NATO do) they are UN operations. You'll be surprised to learn many African countries contribute soldiers to UN peace keeping operations. You may also want to read up on the African Union which is way more prominent in African peacekeeping operations. Also note that the Wagner group (Russia) is very relevant in a lot of shenanigans going on in Africa. China is fairly relevant to Africa these days as well.

Which is also why actually declaring war is so rare these days. Its not a war. Its a peacekeeping operation or a conflict or whatever. So we’ll pressure you to help us commit atrocities but you’ll also kind of just be in the area shooting some brown people and not be at war or anything.

No one declares war anymore because a declaration of war is going from 0 to 100 with a stroke of a pen. Probably not a good thing to be doing after the invention of nuclear weapons. Probably wasn't ever a good thing, given it made war seem like something that was legal and civilized. Atrocities have always existed in wars and entangling alliances and declarations of war represented automatic expansion of atrocities. This is now widely seen as a bad thing.

Now we generally use the concept of escalation towards war. This allows for the potential to deescalate before it becomes an all out war. Yes atrocities can occur during escalation and deescalation. But it's significantly less than the 0 to 100 scenario that was happening when declarations of war was commonplace. Look to the cities of Germany at the end of WWII if you want to see the results of an all out war in modern times. Or look at Gaza right now. Look to the cities of Japan at the end of WWII if you want to see what all out war looks like after nuclear weapons came into existence.

So no, we probably should try to avoid the all out war scenarios that declarations of war represents. Especially since we're transitioning to being a more multi-polar world, which means there will be more wars going forward.