As said in the title i think this is a step forward for green day as i think their last work was way too mediocre, they sticked to the concept album thingy that was awesome in american idiot but not so fresh in 21cb.
As of the album, it really brings in fresh air as you have different songs with different topics in it (not bitching about christian and gloria for 1.20hours), if i had to put it in comparison with another green day album i'd put it with nimrod or warning but with more hard rock influences (clearly jason white).
Nuclear family as first track is really good, Let Yourself Go brings back some insomniac kick-ass memories. Kill the DJ and Oh Love are grower songs, indeed they chose them as singles. Fell for you, Loss of control and Troublemaker are very Nimrod like and it's kinda refreshing.
Stay the Night and Carpe Diem look too much standard for me, if i had to choose the weak track it would be sweet 16, didn't like the bieberish lyrics...
As a whole i really think it's good and every GD fan should buy, but even fans distant from the punk genre, not recommended for diehard punk rock fans.