LA Noire is a game that I have really enjoyed playing. The graphics are amazing and it's a great game to just sit down and play. You do need to think like a detective, screw it up and you'll probably screw the case up. You can drive around, stop street crimes and solve cases. You're in control of what questions and clues get found. The outcome is determined by this.
If all you're into is shooting heads off then I would probably suggest not getting this one. For me I'm into games with great stories but don't like constantly shooting waves and waves of enemies. This game mixes a bit of action every so often, with chases, shoot outs just enough to keep you wanting more.
Overall a great game.