Instead of making a list of loads of random books, films and bands, I'm going to present what English books/films/bands people in Sweden liked and what Swedish books/films/bands people in England liked. Quite a few TV series sneaked their way in as well. The star means that several people mentioned something.
People in Sweden liked
The Clash and other old English punk*, Oasis and other Brit pop*, Stone Roses, Monty Pyton*, Time Team, Stephen Fry, Tony Hill, The Midsummer Murders*, Inspector Lewis*, Nick Hornby, The Cure, The Style Council, Agatha Christie, old English war films, Downtown Abbey*, Faulty Towers, John Cleese, English Christmas carols
People in England liked
Let the Right One In*, Fyrtiotalisterna (poetry movement), Lukas Moodyson*, Cardigans*, Wallander, Festen, The Millenium Trilogy*, Roxette, Wannadies, Ingmar Bergman, My life as a dog, Pettson & Findus, The Sounds, Kings of Convenience*, August Strindberg, Abba
This study is by no means scientific, the answers are based on interviewing 15 people in England and 15 people in Sweden, aged 22-59. A majority are heterosexual women, but there are a few men and some LGBT people in the study as well. Look out for the next question: What's your favourite food?