What are the arguments which led you to believe, that all these alternatives are worse than democracy?
Why do you think, that "there is no country on earth currently, that has a 100% functioning democracy, mostly because the richest people always take over governments and rule"? Isn't it rather true, that these rich people rule through democracy by sponsoring politicians who promise to make a payback once they will be in power? Isn't it rather an essential problem of democracy, that average people have no idea about politics and so they usually vote for those who spent a lot of money on the election campaigns and are therefore "lauder" - but not necessarily "better" (however we are going to define this "betterness") than their opponents?
From what I wrote it does not follow that I don't think a society is unable to organize itself democratically. I only suggest, that it is not the best way to organize society, even if we would agree (just for the sake of this discussion) that there should be some form of government in existence.
I think that hereditary monarchy is generally more reasonable way of ruling a country. It is especially evident if we consider the notion known to economists as "time preference" ( https://en.wikipedia.org/wiki/Time_preference ). The time preference of democratically appointed rulers is in most cases much higher than that of a monarch in a hereditary monarchy. Why is that so? Because in democracy, the current group of rulers know that even if some policy is "good" (setting aside the definition of "good") in a long run, it is not a valid argument for them to enact it, since their cadence lasts, let's say 5 years and the good effects of this choice may be observed just after their opponents came to power. On contrary, in a hereditary monarchy, the monarch knows that even if he is not going to see these benevolent effects of his politics, it is his son (or some other member of his dynasty) who is going to be the next ruler, therefore he has incentive to be as good of a ruler as he can - for the sake of wellness/prestige/popularity of his family.
More arguments against democracy and supporting monarchy/aristocracy are presented in this ingenious book by Hans Herman-Hoppe, which I recommend you to read. https://en.wikipedia.org/wiki/Democracy%3A_The_God_That_Failed
RE: Why democracy is a fallacy.