As the reviewer before me said, this is a slightly more mainstream album than other Rise Against but that is one of its main strengths: It still addresses political questions (for example the anti-war 'Hero of War' and the superficiality of fame in 'Entertainment') but has a distinctly more catchy style - not to say that this is a weakness (although some fans felt let down when Rise Aganst joined a major label).
Anyhow, Hero of War is one of their best songs in that it is both reasonably simple but also has a classic Rise Against anti-imperialist theme. If you enjoyed Swing Life Away or Roadside you'll enjoy this (they're rather different musically but it's a similar style of singing and guitar)
Essentially you shouldn't expect the more hardcore political songs such as Give It All or Ready To Fall (in my opinion their best songs, especially the uncesored video for Ready To Fall) but you CAN expect classic Rise Against heavy melodic punk with a political theme, although with significantly less screaming than in previous albums.
Previously i had been sceptical about this new album but having listened through it five times or so I think it's among their best - think an entire album in the theme of 'Tonight We Dance' and you'll be on the right track for an idea of this album.
Four songs to listen to on Youtube that will give you a good idea about hte album: 'Saviour', 'Hero of War', 'Entertainment' and 'Kotov Syndrome'. Rise Against are probably the best melodic punk group around at the moment so definitely worth a listen if you're a newcomer. Even if you're into more hardcore punk like AntiFlag, Rise Against offer a more melodic and viable alternative (let's be honest, Antiflag DO try to cram far too many words into one line and their rhyme schemes are distinctly suspect!).
On a final note, Rise Against are actually more progressive in their thinking than most punk bands, again, using the exanple of Anti-Flag's 'one trillion dollars' or 'Angry Young and Poor' - they both address legitimate themes but they are entirely negative in their message, Rise Against encourage us to become more informed in our lives and to accept responsibility for our actions. To see a further example look up the video for 'Ready To Fall' which Tom McIllrath (lead singer) called their most important work so far...
Once again, i can't emphasise the ability of this band enough, the only reason it got 4 stars was in consideration for hardcore punk or early Rise Against fans who may find the more commercial edge less appealing, but for the everyday listener this gets a definite 5 stars!