So are there any bands you listen to that simply don't have a single song you don't like? For me its pretty rare that I find a band that fits this, as pretty much every band I've listened to seems to have one or two songs that I hate or simply don't like.
The two bands that achieve this for me are System of a Down and Cancer Bats, I could listen to both of these bands endlessly on repeat for hours and never get tired of them or ever want to skip a song. Lamb of God comes close but their New American Gospel album has a few songs I'm not too fond of.
So share me your 'flawless bands', I can predict that The Beatles might come up from a lot of people, I personally haven't listened to enough of their songs to decide.