er… so do they?
UK/US/ anywhere.
Hmmm… quick search online hasn’t found any candidates that would seem to be serious.
I’d imagine that a party of such description would fit the description of Anarchists. However, as one site pointed out, anarchists generally can’t abide joining in the political process to a degree necessary to campaign for national control.
Searching for anarchist political parties came up with a few interesting things, like the german party that campaigned on a platform of free beer. That doesn’t really fit your criterion, though, and it seems like a joke party anyway.
On a slightly related topic, I remember reading once that a pure ‘capitalist’ political party would probably campaign on a platform of abolishing all government institutions aside from the military and the police, and bare those down to what they considered ‘necessary’. Pure capitalism as a political philosophy, supposedly, holds that any action of government other than that needed to protect the lives and property of citizens from hostile action… (theft by threat, burglary, assault, foreign invasion, etcetera) was an invasion of personal freedoms.

Well, Utah has (had?) a Progressive Anarchist Party, but going from this site there are no national Anarchist parties in the USA.
The UK has the Earth First! party, which this site describes as a Green anarchist party. Spain, similary, has the Cultura Natural, which is also described as a Green anarchist group.
The Libertarian Party has some anarchist members, but they are a minority. Most Libertarians simply want a smaller, less intrusive government.
chrisk, the “pure capitalist” party you described is probably the Libertarian Party, at least for its more philosophical members. Pragamatists, like me, would simply like to see the government shrink.
I recall at several previous New South Wales (NSW) state government elections that there have been candidates from the Abolish State Government Party. The party’s major aim (as its name suggests) is the abolition of the whole tier of state government in Australia, leaving, presumably, only the Commonwealth (federal) government and the local governments. I don’t think the Abolish State Government Party has ever had a candidate elected.
I’m sure there’s a few here: http://www.broadleft.org/anarchis.htm
– Ronald Reagan, 1981 Inaugural Address.
Depends on what your definition of “abolish” is.