I generally think of anarchism not as a perfectly thought out system, that I could implement tomorrow, but as a utopian vision, we should strive towards. But I will give my best shot at answering this.

My question to you is this, what vision should we strive for in your opinion? No system is ever perfect, but it does need to have a considerable degree of practicality in order to exist in the real world for an extended period of time.

My vision of anarchism is very inspired by the ideas of Marx, so I believe that all economic activity should be full owned and controlled by workers in some kind of democratic system.

But this a contradictory notion, is it not? Marxism is an inherently authortarian ideology in both theory and practice, which is why every attempt at it in history has resulted in some tyrannical regime. The idea that you can collectivize an entire economy and redistribute resource as the "collective" (read: government) deems necessary is simply impossible without a great deal of violence, coercion, and theft involved. The only way this idea could work without tyranny is if everybody in a society can magically agree to everything, which again, is impossible. There will always be people who will disagree, people who will resist, and people who will refuse to participate. That's just how humans are. But if these types of people are allowed to do as they wish, then the system collapses in on itself. This is why communist regimes end up killing so many people in their quest to achieve communism, but that in of itself is the reason why communism is widely considered a failure as an ideology.

There would of course be no one at the top, that makes much more than other people so I don’t really see a way, where inequality would meaningfully arise.

I think you misunderstood the point that I was making in my scenarios. I was pointing out how you can't have order without inequality. One of the hallmark defining features of civilization is inequality, not in the sense of wealth, but in the sense of power. In order for people to organize in a society there needs to be people who have disporportaite levels of power and authority that grants them the ability to oversee, manage, and instruct people to act in certains ways in order achieve predefined goals. In other words, if you want a functional society, you need heiarchies.

Also, social heirarchies don't exist because of capitalism, they exist because it's an incredibly useful trait that social animals like humans evolved to better survive in the wild.

The capital class also loves to push racism, sexism etc. through the media they controll to protect their own interests

Like I was saying earlier, things like this don't exist because of capitalism. If your claims about capitalism were true then there wouldn't be any notion of things like war, racism, crime, and so on before the 17th and 18th centuries when capitalism formed, but that's clearly not the case because these all existed long before recorded history were a thing. In fact, a lot of these traits can be found in our closest ape relatives, which means that they're a product of our evolution.

Humans are tribal beings, and our ape brains are literally designed to ensure our survival in the wild. The way that we survived in nature is by forming small communities that we depended on our survival. If you lost your community, you're screwed. Therefore, we evolved to become very protective of our tribes. We are inately catious change and hostile to outsiders because they could threaten the stability of our community, and thus our survival. In modern times tribalism comes in different forms whether its religion, race, sex, sexual orientation, political affilation, nationality, and so on. Even if you manage to eradicate one, another will come and take its place. Obviously we should strive to treat everybody with equal kindness and respect, but we also have to acknowledge that this isn't something that be conditioned away with a change in economics or politics.

There should of course be general rules the community agreed on, but the circumstances should also be considered.

That's already the case now, it's called the justice system. However, you can't have a justice system without a government that monoplizes violence. You need a government to have a police force that enforces rules and carries out punishments... but if that's the case then we're no longer in anarchist situation.

(imperfect, but still impressive) real world implementations of this could look like, look at anarchist Spain, Rojava or the Zapatistas

Impressive how? I think all three are considerable failures. They didn't manage to last long and they didn't achieve anything notable.