There used to be a "California style" pizza place in Norwalk CT called Sunrise Pizza. Had all kinds of hipster toppings like sun-dried tomatoes, artichoke hearts, shitake mushrooms, goat-cheese, 6 kinds of crust etc etc etc...
They went bankrupt and closed years ago.
All kidding aside the place wasn't terrible but it also wasn't what most folks are looking for when they order a pizza. (apparently not even in CA ... the BBQ chicken pie that's #1 there is pretty standard stuff even in New Haven)
Additionally it was quite expensive which by itself in Norwalk wouldn't be a huge problem, but if you want the rich folks to come buy your absurdly over-priced pies they really do need to taste exceptionally good!