Nope, 'cause there aren't many stories you can tell regarding cars, drivers and the combination, that aren't a bit dumb. Even the Fast and the Furious movies are jolly good fun but, if you think about their scenarios, dumb as bricks. Just like the NFS movie. Just like ANY kind of driving movie. The only exception being "Drive", which was more of an atmospheric Film Noir, but boring as far as "action" goes - it wouldn't translate well to a game.
So, what's a story that could "be told" in an NFS or other racing game that could actually be good? There are only so many things you can tell without having to get OUT of the car - like the GTA series.
And there's also the problem that when you finish the Story mode, you feel that you've actually "finished the game". I have friends that have been playing GT daily for years and years, until the next version comes to replace it - and then they upgrade and keep playing. 'cause it's a "driving simulation", not a retelling of Romeo and Juliet. If it had a story mode, if it wasn't a "blank canvas" for your own "adventures on wheels", if instead of letting YOU drive it put you in the shoes of a fictitious character, it wouldn't have the impact it had and still has.
But that's just my point of view I guess.
As for what it could do to refresh its recipe a bit? Add more "arcade" modes, with all hardcore features set on Auto (gears, getting into corners), actually offering a speedy equivalent to, say, Burnout 2. With less crashing and more racing. 'cause at Polyphony Digital "they don't like the crashing". Although if they decided to ALSO add crash-'n'-burning like the Burnout series, I'd be all in for it. It would be more fun than driving moon landers in the long run.