Every democracy no matter how pure has always devolved into a hierarchy and then into a tyranny. Just look at the Greeks, the shinning example of democracy for their time and look what happened.
...please tell me you meant to say the Romans...
The way to prevent democracy from devolving into hierarchy and tyranny, is to have a constitutional document that explicitly forbids, under threat of justice, any infraction of the rights to life, liberty and the pursuit of happiness, and everything that implies; not interpreted by a bunch of shady, lobbyist run lawyers in legislative positions, but by a judicial system that has checks and balances.
Lacking a government isn't the answer, by the way you portray it you're being highly contradictory seeing as a democracy is a form of government.
Direct democracy is the will of the people on how to act on certain issues, and as it's the peoples' choice they are not being "governed".
The best on paper is communism but the best in actual effect is a republic with electorates elected by the people and what not that listen to the people who voted them in and thus vote in their favor. Your system of thinking that no government = best is extremely flawed because every social gathering of people in any society has a system of government. Enough of that though.
Communism is terrible on paper. It deals with labor in an age where technology increasingly displaces labor. A republic with electorates is NOT elected "by the people", that is pure fantasy. It is elected by the MONEY.
I do not think "no government" is best but I do believe that it is a necessary step for us to eliminate our current system in order to evolve naturally to what will benefit the commonwealth, eg the most good for the most people.