Well it is a new movie, at least by period standards.
Broadly speaking you've got the B&W era until the 70s, the "old classics" recorded in colour on actual film up till the 90s, then the period of questionable CGI and campiness up till somewhere like 2005 when what we feel like is new/recent cinema starts. The ongoing era of decent invisible CGI, quality digital cameras, and post-9/11 hopelessness.
It's why I still watch a lot of 90s/early 2000s movies, there's just something different about that era that feels nice.
Having grown up with the crappy "Jurassic Park somehow pulled off what no other movie of the time did" CGI of the 90s, the effects in the Marvel movies look pretty seamless up to the point where people's fingers start shooting green lightning or whatever. The nature of their plot holes and overall dumbness feels different, also. Much more polish, to the extent that I can almost ignore how stupid the whole thing is when I'm watching one. Almost.
I think we get that "goddamn years are going by" feeling with movies especially because they are connected to a specific year yet are disconnected from other memories (unless you brought your crush to one of them maybe)
I remember Alt-J performing a cover of "A Real Hero", another song from the Drive soundtrack, at Glastonbury festival years ago. The film and soundtrack were really cool.
I can't tell you what originated the aesthetic, but it's not Drive because some songs on its soundtrack were already part of the established aesthetic.
It's definitely one of the major works in that world, however.
I was thinking of this song exactly before I turned on the music; thought it might even be the same song for a second. I wonder why the (visual) aesthetic is evocative of this song?
https://youtu.be/MV_3Dpw-BRY