I've said many times I do not believe government is necessary. It really does not do much that is beneficial that could not be replaced and improved by markets, and does a lot that is harmful.
The primary minarchist arguments are defense police and courts.
Government defense involves taxing the crap out of us and occasionally enslaving our youth. When they are not enslaving them they are preying on the poor and failing to abide by the agreements made (i.e., not letting them leave after their terms are up).
Our government actively enrages the people of other nations doing more to endanger us than defend.
Police functions have replaced the concept of crime against individuals with crimes against the state. They do not seek to repair victims and even claim a first right to any recompense.
They do a pretty lousy job of protecting property and their greatest presence seems to me to be in enforcing annoying traffic laws and writing tickets. When they are focused on "crime" it's usually victimless crimes, e.g., drugs, prostitution, etc.
They frequently commit crimes against citizens and are rarely punished.
The courts are part of the problem of treating crime as an affront against the state. Many of the courts functions could be easily replaced by private arbiters and the market has already developed in that area (as it has in protection of property and person that is supposed to be the justification for police).
It might be necessary for government provision of an ultimate or last court, but I am uncertain of that either.
The government does little but steal from us, force us to follow silly rules and engage us in wars against peoples who have done nothing to harm us.
