Batman Meets BioShock...
This game in my opinion is Batman meets BioShock. Although Arkham is not underwater, I felt that Arkham had the same feel to it as Rapture. I also feel that Bioshock was a much better game.
The combat is easy enough for begginers to get right into it which I think is a plus to any game, the mix between downright action and stealth is a nice mix this game gets right, however some of it becomes repetitive after awhile.
I did not find the boss fights anything special, but they did not stink either.
Don't get me wrong it is a good game and worth a play through, I deem a truly great game as one that is compelling, gets all the little things right, does not get overly repetitive and that has either a long playtime or a lot of replay in it. I beat the game in a few hours and do not feel compelled to replay it.
Bottom line, it's a goos solid fun game, not a great game.