Starting off in 1999 with a rebellious and rough sound, their most recent album, the self-titled 'Taking Back Sunday' (2012) is incredibly polished in comparison.
Okay, okay, so I'm no music-analysis-critique expert and I'm not going to pretend to be, but I think they're great. And I'm gonna link my three favourite songs (from what I have listened to so far) for anyone who is thinking they might want a listen.
Timberwolves at New Jersey
Make Damn Sure
This Is All Now