I got into mountaineering (movies) after reading Into Thin Air, about the disaster atop Mount Everest in 1996. Haunting story, fantastic book.

For real life lost at sea stories, there’s “438 Days: An Extraordinary True Story of Survival at Sea” telling the story of fisherman Salvador Alvarenga that spent more than a year adrift in the Pacific Ocean.

Not as long but similarly lost at sea, crossing the Atlantic in a life raft: "Adrift: Seventy-six Days Lost at Sea" by Steven Callahan.

If you love survival stories, checkout “Deep Survival “ that analyzes why some people survive and others don’t. Brilliant

How interesting, there is another movie called "438 days", although in Swedish, which is about two Swedish journalists imprisoned in Ethiopia for espionage. https://sv.wikipedia.org/wiki/438_dagar (Swedish)