No, no, no, no! The title of the thread is "Classic Rock" as in 'good' and 'classic' and 'rock,' none of which is matching trait of Green Day. They are NOT classic, let alone rock. They're punk/pop and new compared to bands like the Eagles, AC/DC, Aerosmith, or any of the other usual classic rock bands.
Whew, well now that that's been said . . . I'd have to go with Tom Petty and the Heartbreakers or AC/DC as my favorite of the classical rock genre. They're tunes are just catchy and energetic.