Sure, but can you offer me at least one example?
Yes I can. But you may not be totally satisfied, because anarchists and Marxists view the "revolutionary project" as slightly different things. My previous hypothetical about potholes wasn't actually hypothetical. It was based on a real thing called PARC (Portland Anarchist Road Care) which I had the pleasure of participating in back in 2017.
There's the old standard Food Not Bombs which has fed probably millions of people since the early 80s and are often the first people on the scene in the wake of a natural disaster along with anarchist darlings Mutual Aid Disaster Relief
But if you're looking for things that more closely emulate state level actions, you're going to be more out of luck, as anarchists don't advocate for a state at all, and so that would be a little antithetical. There are, however, a few examples to point to when it comes to highly intricate levels of organization and resources distribution. For example the aforementioned Zapatistas who don't claim to be anarchists (there movement is much more multifaceted and intersectional due to the intersecting indigenous rights issues), but they DO adhere to primarily anarchist principle. There's also Rojava or Democratic Autonomous Administration of North and East Syria which operates on a sort of localized version of Social Ecology/Libertarian Municipalism called Democratic Confederalism, that was, and it's worth noting, developed out of an ostensibly Marxist-Leninist structure.
Of course there are historical examples in Revolutionary Catalonia and the Makhnovshchina, both of which I genuinely believe would have more successful with a little left unity.
In my view, either you aim to exist outside of the state until the state ceases to exist, which is a morally admirable view but extremely fragile. The second the state acquires enough hegemonic force to wipe you off the face of the planet, they will and you will leave no trace, so there goes your revolutionary project (that you never stood much of a chance to defend, either).
This is a valid critique. I personally tend to envision a scenario that would NECESSITATE mutual aid (think, the total dissolution of anything that resembles social welfare in a given location or a massive natural disaster or just the inevitability of destabilization due to climate change), which would have the positive side effect of concentrating more power into the hands of the proletariat. But there's certainly other ideas about exactly HOW a revolution would take place, I just don't personally tend to concern myself with those.
Or you do want to use the state to wage class war. In this case, that's really the same as what the Marxists want, fundamentally at least. You're just stronger in your moral condemnation of the state, while Marxists focus on functionally describing how the struggle from the current capitalist status quo can evolve into a stateless society via a historical process.
This really depends on what you mean. Anarchists usually see the state and capitalism and inextricably linked, and to defeat one, you must defeat both. But many anarchists also consider capitalism to be inherently unstable and prone to crashes, affording a prime opportunity to step in and show people that people are capable of taking care of people. But I wouldn't consider the inevitability of the state using force against the proletariat as "using the state to wage class war", as much as revolutionary potential.
*I'm really sorry this is so long, but you gave me a lot to think about and I didn't want to just give you a bullshit non answer.
I'm not, no. Because most anarchists I know ARE Marxists (at least in terms of economic analysis). But, in my experience, anarchists are the ones that are actually out there preventing fascist cop training grounds from being built, feeding the unhoused, smuggling people across state lines for healthcare, prison outreach, etc. Because (and this is genuinely just my own experience; I'm totally sure this isn't a universal constant) I see a lot of Marxists and MLs talking a lot about "when the revolution happens" and not a whole lot about the revolution being fought right now, everyday.