I enjoy watching movies, thinking about them, and trying to verbalize my impressions. I used to do that on Letterboxd.
Some of my favourite movies are Forrest Gump, La La Land, Your Name. (Kimi no Na wa), and Whiplash.
Some of the movie reviews that I put a lot of thought into are for Gifted, Marriage Story, and The Bit Player.
I love music, both listening to it and (even more so) making it. I play the violin and the viola and I sing, albeit all three at best at a tolerable level.
Here's an unstructured overview over some recordings, videos, and even a music-related podcast that I like:
Basically anything sung by Jeremy Jordan. Some of my personal favourites are his renditions of From Now On, It's All Coming Back to Me Now, Losing My Mind, She Used to Be Mine, and Without a Believer.
Igor Levits Klavierpodcast - 32 x Beethoven (in German)
Jean-Baptiste Accolay's Violin Concerto No.1 in A minor, for example played by Itzhak Perlman in his Concertos from My Childhood
Max Bruch's Romance in F for Viola and Orchestra, for example played by Janine Jansen in Mendelssohn & Bruch: Violin Concertos
The score of Your Name. (Kimi no Na wa), in particular the song Goshintai.
Basically since I've learned how to read, I love immersing myself in books. Here's an unstructured overview over some books that I've enjoyed (or hope to enjoy soon):
The wonderfully creative and lyrical fantasy series The Kingkiller Chronicles by Patrick Rothfuss
Rick Riordan's modern takes on Egyptian, Greek and Norse mythology
The touching narration of an improbable friendship The Housekeeper and the Professor by Yōko Ogawa
Simon Singh's book entitled Fermat's Last Theorem, which is at least partially responsible for why I wanted to become a mathematician
The timeless and intimate classic A Mathematician's Apology by G. H. Hardy
Some biographies of interesting people
Ein Aufleuchtender Blitz: Niels Henrik Abel Und Seine Zeit by Arild Stubhaug. (Thanks a lot to the Hurwitz Society who awarded me this book for the occasion of my Master's degree.)
Open by Andre Agassi
The Strangest Man: The Hidden Life of Paul Dirac, Mystic of the Atom by Graham Farmelo
The Man Who Loved Only Numbers: The Story of Paul Erdős and the Search for Mathematical Truth by Paul Hoffman
The Master: The Brilliant Career of Roger Federer by Christopher Clarey
Genius: The Life and Science of Richard Feynman by James Gleick
Wen die Götter lieben: Die Geschichte des Évariste Galois by Leopold Infeld
Strange Beauty: Murray Gell-Mann and the Revolution in Twentieth-Century Physics by George Johnson
Journey to the Edge of Reason: The Life of Kurt Gödel by Stephen Budiansky
Alexandre Grothendieck: A Mathematical Portrait edited by Leila Schneps (which I still want to read)
I Want to Be a Mathematician: An Automathography by Paul R. Halmos
Beyond Uncertainty: Heisenberg, Quantum Physics, and The Bomb by David C. Cassidy
A Russian Childhood by Sofya Kovalevskaya (which I still want to read)
Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics by John Derbyshire
Julia: A Life in Mathematics by Constance Reid (which I still want to read)
Schrödinger: Life and Thought by Walter J. Moore
A Mind at Play: How Claude Shannon Invented the Information Age by Jimmy Soni and Rob Goodman
The Apprenticeship of a Mathematician by André Weil (which I still want to read)
Women of Mathematics: A Bio-Bibliographic Sourcebook edited by Paul J. Campbell and Louise S. Grinstein