Of those three (stuffed, deep dish and thin crust), "stuffed pizza" is definitely the best and the most distinctive in terms of taste and quality, but it isn't really a pizza.
New York has a lot of actual pizza, and a certain percentage of it is well-made authentic pizza.
Seattle has several independent Neapolitan-style, brick-oven places, and they are pretty good, but none are in my area so I need to be very motivated to go to any of them. But I do prefer very thin crust with sparse cheese and toppings, both because of taste and because I’m Type II diabetic. But I have to hold my nose at a couple of those places because I detest snobbery and pretentiousness, and anything that’s high-end or “gourmet” tends to be buried beneath a great deal of pretentious baloney. After all, it’s just pizza.