Examples
Tang Lee Ping Kuala Lumpur: In February of 2001 Tang Lee Ping of Malaysia fell 1,500 meters after her main and back-up parachutes failed to open. She woke up three hours later in a nearby hospital. Her injuries were minor (only bruises). She attributed her survival to God and a soft landing area.
Sharon McLelland Queensville, Ontario, Canada: In September of 1994, McLelland's main parachute malfunctioned and she failed to deploy her reserve. Aided by the streaming parachute and a landing in soft dirt, McLelland's first reaction was to apologize to her instructor for not using her reserve.
Craig Paton Auchterarder, Perthshire, Scotland: Paton's main parachute failed and so did his reserve. He fell 3,200 feet, landed on a grassy embankment, and suffered a severe chest injury. A newspaper account estimated his speed at more than 40 miles per hour. He was put in a drug-induced coma, but was expected to survive.
There are several EXTREME stories too mostly from WWII era...
Nicholas Alkemade In March of 1944, Nicholas Alkemade was the tail gunner in a British Lancaster bomber on a night mission to Berlin when his plane was attacked by German fighters. When the captain ordered the crew to bail out, Alkemade looked back into the plane and discovered that his parachute was in flames. He chose to jump without a parachute rather than to stay in the burning plane. He fell 18,000 feet, landing in trees, underbrush, and drifted snow. He twisted his knee and had some cuts, but was otherwise alright.
The human body is an incredable thing....just can't seem to handle bullets real well...