From left, Ansel Elgort, Jamie Foxx, Eiza Gonzalez and Jon Hamm star in “Baby Driver.”

For 20 years, Edgar Wright has been thinking about a heist movie concerning a getaway driver who must (MUST) listen to the right song while he is driving.  The result is the smashingly entertaining “Baby Driver” (named after a Simon and Garfunkel tune), which made its world premiere at SXSW Saturday night.

The 20 years bit is important. From the opening chase — set to a song so egregiously mid-90s-college-radio that I will be amazed if anyone younger than 39 or older than 50 will even be able to hear it, let alone recognize it — to the filmic shout-outs to “Wild at Heart,” “Heat” and pretty much anything that Tarantino touched, “Baby Driver” is the most movie-made-by-a-guy-born-in-1974 you are likely to see in a good long time.

(The punchline is that star Ansel Elgort was born in 1994, a good six months before that opening number was released in stores.)

See photos of the stars at the “Baby Driver” premiere during SXSW.

Elgort, complete with almost-Elvis accent (the movie’s set in Atlanta), plays the titular character, a getaway driver nicknamed Baby who wears earbuds all the time, various stolen iPods playing a never-ending stream of music, the better to both dial down the tinnitus that he got in a family-destroying car accident as a kid and provide the soundtrack for everything in his life. Everyone knew that guy or gal (or was that guy or gal), the one who didn’t say much and was content to live in his own soundtracked world.

Baby is that guy. He lives with his deaf step-father (CJ Jones), dances around to any one of the hundreds of LPs he has in his apartment and futzes with recordings and samplers and cheap keyboards for fun.

Kudos to Wright for understanding that serious, lunatic music nerds are fond of both vinyl and digital and props to the costumers who slyly reference the fact that Egort was long-rumored to play a young version of that other fictional, need-for-speed outlaw, Han Solo.

Baby also happens to be the best at what he does, and his wheelman abilities have meant that the rotating-cast crews run by crime boss Doc (Kevin Spacey, just the right amount) have been successfully hitting banks left and right. Baby is the only constant, a good luck charm Doc is reluctant to get rid of.

Things get a bit hairy when Baby falls for Deborah (Lily James), a waitress who happens to work at his mom’s old diner.

This does not sit too well wit Baby’s fellow crooks: Griff (Jon Bernthal), Buddy (Jon Hamm, sporting tough guy hair that’s somewhere between Paul Muni and Macklemore) and Buddy’s partner Darling (Eiza Gonzalez). There’s also the criminal (Jamie Foxx) who maybe doesn’t entirely trust Baby.  There’s proverbial One Last Job. There is the Doomed Romance. There is the Big Shootout.

And there are car chases, lots of them, all perfectly cut to the diagetic music playing in Baby’s ears. It’s the best car movie since whichever the least cartoony Fast and the Furious was. Very little looks and feels digital (which, again, is awfully ’90s of Wright).

Like all of Wright’s movies, “Baby Driver” is a confection, not to mention the first movie in decades he wrote and directed himself, so the vibe is slightly different than the “Cornetto” series he made with longtime creative partner Simon Pegg.

But if anything, Wright retains and expands on his ability to make very specific musical references work universally (the born-in-1970 Sisters of Mercy obsessive in “The World’s End,” the amazing Stone Roses joke in “Shaun of the Dead”). From Beck and Young MC to Carla Thomas and T-Rex (or as Baby calls them, “Trex”), “Baby Driver” is an ode to those who need a stream of tunes in their heads, everywhere, all the time, and a cinematic high-five to the movies that made Wright the absurdly talented music-n-film dork he is today.