When i studied literature many years ago I was never able to enjoy or appreciate the story, everything had to be dissected. I felt like some kind of macabre emotional pathologist.
Only years later am I able to recognize the humor in the text, to allow myself emotional attachments to the characters. Austen is very light-hearted, so is Shaw and many others. Poe and R.L Stevenson are entertaining as hell. Dickens and Dumas were wrote serials. That says something about their view of themselves. Many writers have been neglected because of academic snobbery.
Some texts by H.P. Lovecraft are at the level of Kafka, "The Tomb" for instance. The stylistic prose of Robert E. Howard and his huge influence on later genres, cannot be denied. Even Stephen King now calls Howard's text "Pigeons from Hell" an American classic. Ambrose Bierce (his style is utterly unique) and Jack London wrote many shorter texts that technically are at the level of any Nobel prize winner. "Moon-face" by London is a first person narrative precursor to L'Etranger by Camus, for instance. Some of the pulp writers were so skilled and eloquent that it remains a complete mystery why they have not been canonized. Margie Harris, the female hard-boiled gangster pulp writer, is basically a 1930s Quentin Tarrantino. If you read the story "D, my name is Death" by Arthur Leo Zagat, you realize what I mean. Why is his name forgotten? There are many like him. Then there is the question of the many texts that are hidden in the cultural periphery of global culture.
So, a good place to start is to simply enjoy the stories, get to know the characters. A lot of movie versions make subtle changes to plot and meaning. Note these. Then you get an overview of the stories, and may ask questions. What do they want tell us. The next question then becomes: how is this meaning conveyed?