Blast From the Past, 1999

"One from the vaults" Dr. Frank N. Furter

In Blast From the Past Brendan Fraser and Alicia Silverstone were adorable as "Adam and Eve".

Adam has spent the entire 35 years of his life living under the city of Los Angeles in a fallout shelter. Adam's father, Christopher Walken, sealed himself and his pregnant (with Adam) wife, Sissy Spacek as Helen, into the shelter during the Cuban missile crisis.
After 35 years the little family has run out of supplies. Adam volunteers to go "up to the surface" and gather supplies to replenish their vault dwelling.

The family has many fears based on assumptions that the world they knew endured a nuclear war. Adam's assumptions lead him into several amusing situations.

While searching for supplies Adam has great hopes of meeting a potential mate, preferably not a mutant.
On the surface Adam meets Eve, a street smart lady with a well developed sense of morality, you know, what is right and wrong. Adam employs Eve to help him gather supplies.

Will the cynical but charming Eve fall for the naive but charming Adam? Watching their situation unfold is thoroughly enjoyable.
The soundtrack has some gems. For one, I have "Hell" by the Squirrel Nut Zippers stuck in my head now.