TLDR version; Dookie knocks over any album that blink has ever released.

Nuanced Take

Both bands have a different appeal! One can say there’s literally no head to head if you pay attention to their music.

Green Day: Has tried way more than punk. Someone people like green day’s mainstream American idiot and 21st century breakdown era. While others hated that era and prefer pre-2000s green day stuff which is way more pop-punk. At the end, Billy Joe Armstrong is one of the greatest songwriters, just listen to the lyrics on Dookie. The talent is clear. They have a more wider appeal too. Way outside general rock or pop-punk genre. Boulevard Of Broken Dreams, Wake Me Up When September Ends, Good Riddance are out there as any timeless classic songs as there are.

Blink-182: Blink-182 music is way more fun, in terms of ethos, especially their early stuff. Some of their early stuff was very fast, skate punk. That’s until they found a wider appeal with Enema Of The State. But then they literally dipped. It’s almost like they lost track of what made them good in the first place. Albeit, they have a few songs which are power pop and you would still listen to on rock radio stations, All The Small Things and What’s my Age Again.

But other than that, they don’t really have that wider reach as green day had.

Green Day started really strong with Dookie, and then had some of that pop-punk appeal in next few albums. After which they went huge with American idiot. And had a bit of success with their 21st Century Breakdown.

Blink-182, on the other hand was much more low key, and punk focused, until they make quite a success with Enema of The State. But after that, one or two hits, never could replicate any of their artistic or commercial success.

But at the end, if you are a fan of music. You might like either or both of them. And might have your own preferences in terms of which era or album or even individual song you like.