I have found the website Penguinflies has mentioned:
Higher, ever higher.
— Georges Chavez, last words after crashing his Bleriot airplane on his trailblazing flight over the Alps, September 1910. His words became the motto of the Peruvian Air Force.
I have a feeling that there is just about one more good flight left in my system and I hope this trip is it. Anyway when I have finished this job, I mean to give up long-distance "stunt" flying.
— Amelia Earhart, departing from Los Angeles, California, for Florida on 21 May 1937. Start of her last flight.
Ma, I love yah.
— last recorded words from PSA 182, after a fatal mid-air with a Cessna over San Diego, 25 September 1978. The unidentified voice was one of the pilots, the flight engineer, or a company pilot riding the jumpseat.
What’s happening, Gamil? What’s happening?
What is this? What is this? Did you shut the engines?
Pull. Pull with me. Pull with me. Pull with me.
— Captain Ahmed Mahmoud El Habashy, EgyptAir flight 990, last words, on returning to the cockpit, source NTSB, 13:50 EST 31 October 1999.
We're going to rush the hijackers.
— Jeremy Glick, software executive and passenger on United flight 93, last reported words from his cell phone call, 11 September 2001.
Are you guys ready? Let's roll.
— Todd Beamer, Oracle software executive and passenger on United flight 93, last reported words from his cell phone call to Lisa Jefferson, a GTC telephone switchboard operator (he didn't want to worry his pregnant wife). They talked for 13 minutes, during which they discussed the hijacking and recited together the Lord's Prayer and Psalm 23 -- 'Though I walk through the valley of the shadow of death, I will fear no evil; for Thou art with me; Thy rod and Thy staff they comfort me.' 11 September 2001.
May all victims rest in peace