You can throw a dart at a calendar and whatever day it lands on there's probably an anti-capitalist or anti-government action going on somewhere in the world. We're humans and we like patterns so it's tempting to see a couple of things in the news and try extrapolate a broader trend out of it, but i don't think this stuff is connected.
France has been a mess since their last election when the results were split fairly evenly between three factions with differing policy objectives so the president just said "fuck it" and appointed a PM from none of them, which succeeded in pissing everybody off. The bet was presumably that if nobody's happy then everyone will shut up and try make it work, but that gamble did not pay off. This kind of wrangling is rare in France but reasonably common in other multi-party democracies, so i wouldn't worry too much about it. Germany's going through a similar thing right now with the breakdown of the "traffic light" coalition, and Canada had a taste too when the NDP unhooked themselves from a coalition with the Liberals earlier this year.
Meanwhile way i understand it SK has a massively unpopular president who tried to double-down on "everyone who's against me is a North Korean spy and must be arrested", which obviously did not go down well - even with the military - so his coup attempt fizzled. Remains to be seen how much real change it will actually result in, considering his party blocked the subsequent impeachment attempt. Same shit happened in the US but even worse, because their massively unpopular ex-president who tried to undermine democracy actually got to run for office again with the full support of his party, and he won! I can't see that happening in SK.
Georgia - like everywhere in the Caucasus and most of eastern Europe - has been dealing with Russian imperialists fucking their shit up for centuries. People are rightfully pissed with the latest capitulation by their PM, but will it go anywhere? I'm sure people in Georgia are wary of getting into another war with Russia (previous one in 2008) where the outcome could be even more ethnic cleansing and loss of territory. On other hand, with Russia now tied up in their quagmire in Ukraine, perhaps it's an opportune moment to try assert themselves? The problem is these conflicts are deeply-rooted and there are a lot of ethnic and economic issues overlaid so it can be hard for an outsider to untangle. Like, if you are an ideological anarchist, or if you're coming from the "neoliberalism/globalization is terrible" camp of left-wing activism, are you really gonna cheer on a pro-EU movement? On the other hand, you really want to be on the side of the right-wing populists who are caping for Russia?
It's cathartic to watch people take to the streets and throw molotovs at the cops because intuitively it feels like the peasants taking back power... but you gotta remember that "the powers that be" understand the effectiveness of that imagery too and have no problem co-opting it. Right-wing nut jobs can (and do) throw molotovs at the cops too. There's been plenty of cases where a populist overthrow of the government ended up in an arguably even worse bunch of assholes getting in, or a total breakdown of order altogether, which hurts working class people most of all. So we need to be cautious when celebrating street protest in general, imo.
I don't know much about this NYC story, but rich people getting assassinated sounds like some Russian oligarch or Mexican cartel shit. Outside of America this barely made the news and rightfully so. Who cares? Thousands more are dying of preventable disease, unjust war and so many other things that we can and should be trying to fix.