If you were to judge an FPS by its shotgun than surely some of the classics have got it all wrong.
I have only ever played CSS, Cod4, Mw2 and Bc2 for some fps action but i have to say when you find a good shotgun to use it makes the game pretty special.
CSS had the pump action which had a pretty decent range but it did require a bit of practice in my opinion, not worthy of a special mention though.
Cod4 was just awful with its treatment to shottys. The W1200 had the range of a sneeze while the m1014 had a half decent range with an awful damage blast.
Now this is where it gets interesting. Mw2 had the Model 87's with an insane range for a shortlived period before IW shot itself in the foot and deciding to nerf them. However the Spas 12 remains the most insanely addictive and wonderful gun to use.
Bc2 is the only game i have come across recently to treat a shotgun with the respect it deserves. Put a scope on a cod4 shotgun, now imagine it could kill people from the range given in the scope, there's bc2 for you.