Regarding Animal Farm, did anyone follow Stalin's ideas after his death, and when Napoleon dies will a new leader will be elected similar to...

I guess this depends on what you mean by "Stalin's
ideas."  In a way, people did continue on with his ideas for almost 40 years after he
died.  The Soviet Union continued to be communist and the members of the Party continued
to have all sorts of privileges that regular citizens did
not.

On the other hand, the worst of Stalin's ideas did not
survive.  The guy who ruled after him, Nikita Khrushchev, denounced Stalin's way of
ruling and did not follow it.  There were no more mass purges and mass executions after
Stalin died, for example.  So the basic idea of communism survived, but Stalin's brutal
ways did not survive as much.  (There was still a great deal of repression, but not
nearly as much as in Stalin's time.)

So if Animal
Farm follows real life, the next one to take office will surely be a pig who
believes in Napoleon's general ideas.  But this pig will presumably not do things like
killing all those animals for supposedly helping Snowball.