I learnt that you say "I like cats" and "I like movies" and that you don't say "I like a cat" or "I like a movie". It makes sense to use the plural form when mentioning cats/movies in general and it is easy to understand.
However, how about this one?
- I like to see a movie.
- I like to see movies.
You never see two movies at a time, so "to like to see a movie" makes sense to me. Having said that, it feels strange to like seeing only one movie.
Which sentence sounds more natural?