Spy gets captured, tries to escape. Goldfinger.
U.S. President misses the days when he was a fighter pilot. Independence Day.
Tourist visits Washington, wants to meet the President. The Day the Earth Stood Still.
MAD Magazine once did the opposite: They came up with new adverts to make classic movies sound more exciting and relevant. F’rinstance:
Young, restless, yearning for love, she found herself alone in a cabin with seven sex-starved men … and even they weren’t enough to satisfy her!
Snow White and the Seven Dwarfs
and
They were the “Now” Generation of 1,200 BC … a far-out group of flower children who thumbed their noses at the Establishment … until one cat with long hair, a beard, and sandals came along and offered them “tablets” that turned them on. Where did he get them? Out of sight, man!
The Ten Commandments
An old hermit gets some other people to help him deliver some stolen property to a woman. They succeed, but the old guy dies on the way.
Star Wars: A New Hope
Inconceivable! The Princess Bride
Wealthy asshole gets a pacemaker, and starts a new hobby.
Iron Man
A teen gets his parents back together.
Back to the Future
In a scramble to leave work and get home early, five co-workers accidentally leave their sixth co-worker behind and have to go back and get him.
The Martian
One I came up with in a past thread:
Two men from different worlds vie for the love of a younger man.
Toy Story
Young man goes on a road trip with friends to get rid of something his uncle had stolen.
The Lord of the Rings trilogy
A Wild West show features a new attraction:
The Valley of Gwangi
A young boy has eye troubles. The Sixth Sense
I was going to say “a teacher tries to find a box full of rocks before anybody else does.”
I had some free time in Wayland, MA, a couple years ago and went looking through the town cemetery for Harold Russell’s grave.
(That’s not another clue, just sharing something that actually happened.)
Warrant Officer heads back to work after long disability. Aliens
A guy works in a cubicle. Office Space
A down-and-out vet finds love with a teenager after his wife dumps him.
The Best Years of Our Lives
Young guy has no idea his father is banging his beautiful wife.
Damage
People go wild when bombarded with radiation.
Flesh Gordon
Frat boy nails a hot babe illegally.
Revenge of the Nerds
Single mother finds love and success after moving to a small town.
Chocolat
Young couple overcomes obstacles in showing that crime can pay.
The Getaway (1972 and 1994) and True Romance
Hillbilly gets his wish granted after officially being declared dead.
No Time for Sergeants
Ex-con remembers details other people might have written down.
The Shawshank Redemption
Two buddies go on a road trip out of love.
Dumb and Dumber
Profane eccentric overcomes obstacles to become a national hero.
Patton
Woman obsesses over local celebrity with predictable results.
Play Misty for Me
A journalist conducts a sociological experiment while researching an article.
Gentleman’s Agreement
A couple of teens skip class for a day.
Ferris Bueller’s Day Off - but I’m sure there are others.
Two teens maximize their time to prep for a make up exam.
Bill and Ted’s Excellent Adventure - but again, sure this would fit more. 
Local water department makes controversial decisions regarding water flows.
Chinatown
A nurse gets knocked up and runs off with an Army deserter.
A group of boring, pretentious people go on a boring, pretentious holiday.
A studly American bangs a hot Latina in his sleeping bag.
A story that took five years to tell on TV is boiled down to 2 h and 10 min.