I'll pick 5 from each of your lists that
I think
you'll like. That should give you plenty of options.
Gone With The Wind, ET, Rocky, American Graffiti, Raiders Of The Lost Ark
Being There, Ghostbusters, Groundhog Day, Bull Durham, Airplane!
Chinatown, Die Hard, Planet of the Apes, Touch of Evil, Speed
Now, Voyager, When Harry Met Sally..., Sense and Sensibility, Roxanne, The Princess Bride
Field of Dreams, Star Wars Episode IV: A New Hope, Cool Hand Luke, To Kill a Mockingbird, Apollo 13
I don't really have any idea which musicals you'd like, but I like Meet Me in St. Louis, Chicago, 42nd Street and Moulin Rouge!
Kind Hearts and Coronets, The Full Monty, Zulu, Local Hero, The Commitments
Back To The Future, Manhunter, Alien, City Of God, Boyz N The Hood
Seven Samurai, The Searchers, Once Upon a Time in the West, Sweet Smell of Success, The Third Man
Butch Cassidy and the Sundance Kid, Dances with Wolves, The Long Riders, The Magnificent Seven, Shane
OK, that's everything down to the Westerns, but then I notice that you don't have any of the sci-fi list ticked off. I can't believe that you haven't seen any of them, so I'll carry on after you've updated your lists.
Otherwise I'll probably list a load of films you've seen when I could've offered something else.