I strongly recommend Touching the Void, an excellent 2003 documentary (blends interviews with the principals and authentic re-enactments) by British director Kevin MacDonald. If you can get the DVD or Blu-Ray, there are some additional features worth watching that provide follow-up on the characters and some background info.
Like "Alive," there is a book that tells the survivor story (same title, author is Joe Simpson).
Another you might like (but it deviates a long way from the true story in order to romanticize the character) is "Into The Wild" which you can find out about here:
The two together provide a balanced and insightful picture. I bought the DVDs but you can find Call of the Wild (or sections of it) on YouTube or Dailymotion.com. It's been shown on PBS so you might find it there, too.
Finally, you might enjoy a film by David Breashears about the 1996 Everest disaster that was shown on Frontline and is (I believe) viewable from their website. The title is Storm Over Everest.
You can view an excerpt, but not the whole film; there's lots of interesting additional material. I got the film from the public library and you probably can too (it's on Netflix, also).
Not sure if your familiar with the Antarctica explorer Earnest Shackleton. If your not, I highly recommend "Shackleton", a 2 part mini-series from 2002. Pretty amazing story of survival, especially the open-boat journey that really boggles the mind when you consider the distance and weather conditions they had to endure.
Another one you might be interested in is the 1990 movie "Anything to Survive". It's actually on youtube:
The survival film is a film genre in which one or more characters make an effort at physical survival. It often overlaps with other film genres. It is a subgenre of the adventure film, along with swashbuckler films, war films, and safari films. Survival films are darker than most other adventure films which usually star a single hero. The films tend to be "located primarily in a contemporary context" so film audiences are familiar with the setting, meaning the characters' activities are less romanticized.
Thomas Sobchack compared the survival film to romance: "They both emphasize the heroic triumph over obstacles which threaten social order and the reaffirmation of predominant social values such as fair play and respect for merit and cooperation." The author said survival films "identify and isolate a microcosm of society", such as the surviving group from the plane crash in The Flight of the Phoenix (1965) or those on the overturned ocean liner in The Poseidon Adventure (1972). Sobchack explained, "Most of the time in a survival film is spent depicting the process whereby the group, cut off from the securities and certainties of the ordinary support networks of civilized life, forms itself into a functioning, effective unit." The group often varies in types of characters, sometimes to the point of caricature. While women have historically been stereotyped in such films, they "often play a decisive role in the success or failure of the group".
The following survival films are listed alphabetically.
Film Year 54 Days 2014 127 Hours 2010 A Hijacking 2012 Alive 1993 All Is Lost 2013 Apocalypto 2006 Apollo 13 1995 As Far as My Feet Will Carry Me 2001 Beyond 1921 The Book of Eli 2010 Buried 2010 Carnage Park 2015 Captain Phillips 2013 Cast Away 2000 Cold Mountain 2003 Come and See 1985 Countdown 1968 The Dark Hour 2007 Daylight 1996 Deliverance 1972 Dersu Uzala 1975 The Divide 2012 The Edge 1997 Escape from Alcatraz 1979 Essential Killing 2010 Five Came Back 1939 The Flight of the Phoenix 1965 Flight of the Phoenix 2004 Frozen 2010 Gravity 2013 The Grey 2012 Hell in the Pacific 1968 The Hunted 2003 I Am Legend 2007 The Impossible 2012 Inferno 1953 Interstellar 2014 Into Thin Air: Death on Everest 1997 Into the Wild 2007 Iron Ridge 2008 The Last Voyage 1960 Life of Pi 2012 Lifeboat 1944 Lone Survivor 2013 Marooned 1969 Man in the Wilderness 1971 My Favorite Wife 1940 The Naked Prey 1965 The Omega Man 1971 On the Beach 1959 Open Water 2003 Pandorum 2009 Panic in Year Zero! 1962 Pitch Black 2000 Planet of the Apes 1968 The Poseidon Adventure 1972 Quest for Fire 1981 Rabbit-Proof Fence 2002 Rescue Dawn 2006 The Road 2009 Sanctum 2011 Sands of the Kalahari 1965 Scenic Route 2013 Seven Waves Away 1957 The Savage Is Loose 1974 The Snow Walker 2003 Soylent Green 1973 Stagecoach 1939 Survival Quest 1989 Swiss Family Robinson 1960 Teenage Cave Man 1958 Touching the Void 2003 The Pianist 2002 The Ultimate Warrior 1975 The Wall 2012 The War Game 1965 The Way Back 2010 The World, the Flesh and the Devil 1959 World Trade Center 2006 Zero Population Growth 1972
Bob and his wife Linda accompany his brother Jim on a sailing cruise to Costa Rica, where Jim will start as a missionary. In a terrible storm their boat(a Trimaran) flips over. Jim believes the accident was a sign from god and throws away their distilling apparatus and food - "You shall not interfere with god's will". However nobody knows they're lost, so no one searches them for weeks...
I read the book quite awhile ago and unfortunately can't remember the name of it. Spent some time searching for it as well but no luck.