Picked up the game yesterday and played for about two hours. I'm loving it so far. The opening half-hour or so is a little disjointed and limiting, since it's essentially the tutorial for most of the game's mechanics, but once you're working the Traffic Desk everything starts opening up.
As was the case with RDR, this game blows me away with its atmosphere and authenticity with regard to a bygone era. This is why I play videogames: to be transported to places that I could never otherwise experience. While there definitely aren't as many sandbox-y activities to do in L.A. Noire's setting, the attention to detail is staggering. From what I've played so far, it's more detailed than Liberty City and more sprawling than RDR's Old West. I love just driving/walking around and taking in all of the family-owned shops/restaurants, complete with very detailed displays of their wares in the shop windows.
Much like the rest of you, I sucked at interrogations for the first couple. I think I have the hang of it now, and I usually only miss one question when interrogating a POI. While it can be a bit of a guessing game at times, it's still very engaging thanks to the spectacular voice-acting and facial animation.
Hopefully I can find time tonight after work to escape into 1940's L.A. for a while.
PS - I agree that it is odd to respond to a dispatch in the middle of a mission, go blow a guy's brains out, and then return to the case like nothing happened.
Like a boss.