Turning radius is only one aspect. Routine and emergency handling are the ones where I notice big vehicles just don't have "car like handling". From the Chevy Traverse I just drove, to the Infiniti JX35, Mercedes GL450 and others, they all handle like big vehicles, not even matching some minivans. There's just no way to completely compensate for an extra 1000 or 2000 pounds, a few inches higher center of gravity and in the case of truck-based models, the rigid frames and often the lack of independent suspensions. I find my Highlander to be a little worse than average for a midsize crossover, but I do appreciate that it has a very quiet and comfortable ride in exchange for numb handling that wasn't even as good as the 2006 Odyssey it replaced. Models like the Acura MDX, Kia Sorento and Mazda5 are among those few that have struck me as actually being somewhat "car like" in terms of handling. Well, the Mazda5 is actually pretty much a car, so no surprise there!
The GL450 was really impressive for a vehicle its size. Given the choice, I'd take the GL350 BlueTec over an Odyssey overall, any day, but I think I'd take the Odyssey for handling. Of course, I didn't drive them side-by-side, so maybe it's just fond memories;-)