Wealthy can also use proxy corporations and NGOs to circumvent corruption laws to subvert democracy. This kind of subversion is quite hard to cope up with, since the dirty business is conducted with peripheral personas or organizations. This makes it harder to link them to the corrupt politicians. Read the methods they employ for this kind of subversion here.
Offering corporate posts is a way in which Wealthy can subvert democracy and politics. And not only through politicians or leaders - bureaucrats too. Do something they want very much, and land a multi-million dollar post after resigning. Which is something that repeated in the recent years a lot of times. Read what else they do here.
Even if there aren't elections in horizon, party donations still happen, and they keep the cycle going. Parties keep doing propaganda, filter candidates, fund friendly groups. This amplifies the ways through which Wealth subverts democracy in an ongoing basis. Read how they do it here.
Science is supposed to be neutral. It isn't. Those who own science institutions can decide who gets the funding, who doesn't. No undesirable research gets done. Academicians, scientists who don't comply just lose their tenure, their posts and compliant ones take their place. Read how Wealth subverts democracy through science here.
Private Education acts as a tool to condition and indoctrinate the children - in many ways too. From constantly reinforcing the 'desirable' philosophy to making 'undesirable philosophy' unreachable, from filtering independent thinking students to constantly reinforcing ideas through media repetition. Read who does that and why here.
Those who own the media hold the keys to what you see, and what you don't. They can show you what they want you to see, and keep anything they don't want hidden - they can even make political candidates disappear from public view. Read how media does this, and what else they do here.
Campaign Donations are the simplest, most obvious and most direct way Wealthy corrupt democracy. No money, no election. Either you have the money, or you need to get backing from someone who has the money. When that's how elections work, naturally the one with the most gold makes the rule.
If you're from USA, chances are quite high that you are wrong on this one. The current 'Libertarianism' concept in USA political mainstream seems to be a form of 'no government' and 'total private freedom' with no bounds on private property. This article details what libertarianism really is, and why it is totally off-base in US.
What you know to be 'Corporatism' actually does not exist. And what is being described as corporatism is something totally different. In this article, you can get the details, and find out why a nonexistent concept as corporatism is being talked about.
There is 99.99% chance that you think Anarchism is chaos, which means that you have been misled on what Anarchism is. In this article, read what Anarchism really is, and why they mislead people on what it is.