There are no "actually socialist" nations because socialism "doesn't work" in reality. In reality, socialism's endgame is North Korea.
Socialism will properly not work in its pure form, but then again pure capitalism without any restraints would very likely evolve into a nasty place (for example if there was no anti thrust laws there is a big risk that the free market would cease to exist).
You can have private ownership of the means of production but that don't automatically give capitalism, capitalism also requires a market economy. You can have private ownership of the mean of production without having capitalism.
If you take the definition of market economy from wikipedia: (http://en.wikipedia.org/wiki/Market_economy)
>Capitalism generally refers to economic system where the means of production are largely or entirely privately owned and operated for a profit, structured on the process of capital accumulation. In general, investments, distribution, income, and prices are determined by markets.<
What if distribution, income and prices are largely determined by the state but investments are not?