A classless stateless society is Socialism.

CLASSLESS

In short, no. Classless society, in it's ultimate version would mean no divisions on the basis of economic status, which certainly wasn't the case in the USSR.

The concept of a classless society is most closely associated with communism, where there is no private ownership of the means of production and everyone is considered equal.

In the beginning, the animals seek to make it a classless society with the set of rules that Snowball and Napoleon make. In the end, it is not, with the pigs the ruling class and the rest of the animals workers.