Doing a quick search of rock bands that were popular when I was in high school and college and that were not new then, the two I found that beat Green Day at most streamed songs:

Nirvana has two above Green Day’s #1, their third is between Green Day’s 4&5, they have 20 songs over 100,000,000, Green Day has 16.

Metallica also has two that beat any Green Day and a third ahead of Green Day’s #3. They have 23 songs over 100,000,000.

Both have more total streams. I did not expect Green Day to beat Led Zeppelin and Pink Floyd

The Beatles only has one song that beats Green Day’s highest but do better song for song than the other bands.

Total Streams:

Beatles: 19,541,506,77 https://kworb.net/spotify/artist/3WrFJ7ztbogyGnTHbHJFl2_songs.html
Metallica: 13,180,168,111 https://kworb.net/spotify/artist/2ye2Wgw4gimLv2eAKyk1NB_songs.html
Nirvana: 11,108,566,450 https://kworb.net/spotify/artist/6olE6TJLqED3rqDCT0FyPh_songs.html
Green Day: 10,640,667,178 https://kworb.net/spotify/artist/7oPftvlwr6VrsViSDV7fJY_songs.html
Pink Floyd: 9,645,756,424 https://kworb.net/spotify/artist/0k17h0D3J5VfsdmQ1iZtE9_songs.html
Led Zeppelin: 7,503,899,091 https://kworb.net/spotify/artist/36QJpDe2go2KgaRleHCDTp_songs.html