I love this band but I can't name one song
I don';t know a lot of their tunes but I've had to add Lonely Boy this week for gigs and it's pretty fun.

I caught on to Dan Auerbach and The Black Keys sorta backwards, by discovering Junior Kimbrough first and then realizing that he heavily influenced Auerbach. I have one Auerbach solo album (maybe he only has one, I don't know) and actually prefer the quieter acoustic things, which surprised me since I didn't know they were on there.
If you don't already have the Black Keys' Chulahoma album, you should check it out. The album is entirely Kimbrough covers.