The Class of '92, which premiered in London on Sunday night, tells the story of United's FA Youth Cup-winning side and follows them up until the club win the Champions League Final against Bayern Munich in Barcelona in 1999.
The documentary film looks at the impact made by Beckham, Paul Scholes, Ryan Giggs, Nicky Butt and the Neville brothers during their careers at Old Trafford.
"It makes me feel old watching it back now," said the former England captain.
"You don't have to be a Manchester United fan to enjoy it. There are a lot of laughs in there and some seriousness too.
"There are moments too when people who know us well will get choked up watching it. There's so much in this film."
Phil Neville is a coach at Old Trafford, Giggs is still playing at 40 years of age, while Gary Neville works on the England coaching staff and for Sky Sports.
Butt coaches United's under-19 players and Scholes is also considering a career in coaching.
The documentary also looks at the re-emergence of Manchester as a city in the 1990's through music, culture and football.
"The likes of Oasis were exploding onto the scene and The Stone Roses too, the whole Manchester vibe was incredible," said Giggs.
"The music, the clubs, it was a great time to be coming into the first team."
The challenge ever since the Class of '92 has been for United to find an equally talented group of youth players to turn into Premier League stars.
Phil Neville said: "If it's going to happen again then it will happen at United. There are not many clubs who will give youth its opportunity."