It's a long time since I was at school and I'm not sure how things are now, but when I did English Literature it was a mixture of books (the usual classics plus some more recent ones such as To Kill a Mockingbird and Animal Farm), poetry and plays - again as usual Shakespeare dominated but we did Pygmalion and a few other Bernard Shaw plays as well, and we did read them out in class, with us playing the various roles, which did help a little. We did go to see an occasional production too, which also helps bring the play alive.
When I did advanced level French and German, we also studied some of their literature in the original language, such as Goethe, Kafka and Maupassant.