Sols didn't reply to my comment, you did. And if Sols' reply was sufficient, why did you put in your little two cents afterwards [brown noser]?
I submitted a reply b/c I don't agree that a personal tax liability will be applied for a company expense and if you think it will, then YOU are the one that knows nothing about taxation. But I understand you now - you're as much of a brown noser as you are an a*****e so enjoy your life. I won't continue to misdirect this thread by entertaining you any further, and you shouldn't have started this mess in the first place.
Dude,
@JustAnotherNomad is right in what he said and you gave a wrong advice. I don't understand why you went so sensible about his answer, you clearly gave a bad advice and he just pointed it out... what's the problem with that? We all make mistakes, we just need to accept them and keep learning.
About the topic, I know that everything was answered but let's group them a little and expand them a little too
1) Can I buy things with the bank card of my LLC in my residence country? For example paying rent on name of the company, rent cars, pay flight tickets, etc...
Yes you can do it since is a free world BUT if is for personal uses then they won't be deductible from the LLC income (which at the end of the day it's your income), remember that all profit from the LLC will be taxed as a personal income in your home country. Also if you mix personal expenses then you loose the whole point of an LLC: The limited liability, and this is not because of a offshore thing, it's because that's how LLCs work (and a lot more types of companies too).
If they are BUSINESS expenses then you could do it so those expenses are not part of the profit BUT some countries have laws about this, for example if you rent an office in your country and also rent a car for business reasons they will consider that the company have local presence and they could have special requirements.
2) The LLC company would be anonymous in any case. Will I still need to report this company and company income even if 0% taxes, to my home residency country?
The LLC is not fully anonymous, the IRS knows about you, banks will know about you (and these are the ones who share data), money services will know about you and probably your home country will know it too. Remember that LLC profits will be taxed as personal income in your home country because the LLC will be a disregarded entity (I assume that's the kind of LLC that you want) so you will need to declare that income. It's a 0% tax for the business, not for you unless you move to a place that don't tax the foreign income even if the job is being done inside the country. All serious members of this forum will tell you that you should not try to fool the tax man.
3) what is the best way of getting paid to my personal account of my residency country and pay taxes only on these transfers?
A disregarded entity when it comes to taxing, it's like it doesn't exists at all which means you are taxed at the total of profits not only the money you send to your country (there are countries that only tax you in the total that goes to the country but if your country is taxing you 40% then I don't believe that's the case).
Remember that a US LLC is a cheap solution and if you want to use it to reduce your taxes then you need to move to a tax haven (or a country like in answer 2).