A great exercise, in my opinion, is to start improvising on a well known melody or chord sequence, record the session and after transcribe the result on the score.
“12th Street Rag” is a ragtime composed by Euday L. Bowman in 1914 for piano solo.
“This Is Halloween” is a song from the 1993 film “The Nightmare Before Christmas”, with music and lyrics written by Danny Elfman.
Autumn Leaves is one of the most popular jazz standards.Originally it was a 1946 French song, “Les Feuilles mortes”, composed by Joseph Kosma, with lyrics by Jacques Prevert, used for the movie film “Les Portes De La Nuit”, a drama set in post World War II Paris.
Do you know the TV series named “The Man in the High Castle“, inspired by the visionary book by Philip K. Dick?