I really don't understand all the praise this game is getting. It is good, but some people are selling it as the second coming of Christ.
The only noteworthy parts are the beginning (the ascent to Columbia was awesome) and the end (yay! Rapture!), the middle is just meh. It's an "enter a room, kill everyone, enter the next one, kill everyone there" (the Good Time Club "trial" is a perfect example, completely unnecessary) loop broken by Lizzie's angsty moments.
I played in Hard difficulty and found Vigors to be quite underwhelming. Like Crowbar Man, I used only Murder of Crows (for people) and Shock Jockey (for Patriots/Turrets) 95% of the time as they were the most effective ones. Same goes for the weapons, I tried all of them as I found them but winded up using the Carbine/Sniper Rifle combo for the great majority of the game.
Handymen seem to be some kind of afterthought to me, no real reason for their existence and fighting them was nothing special. They just go around Hulk-smashing everything until you Crow them and unload a clip of sniper rounds/missiles on their chest. I liked Patriots much more.
All in all, it's a very pretty, very well produced game. I loved all the musical references in it and the voice acting was top notch, but I really feel it's lacking in the gameplay area.