When I was stationed in England during my military years, I rented a house for few months with a wood fired oven in the small back yard. It was more along the bread oven lines, but you could heat it way up to do the flat breads stuck on the walls type cooking I got hooked on in the middle east. It also did great high heat thin crust pizzas as well. but took about 3 hours to get ready for that type cooking and burned a fair amount of wood in the process. Once heated you could have cooked pizzas for the whole neighborhood without going through much more wood than for a single pizza though as it retained heat well once up to temp.
While not capable of quite the high heat of a true pizza oven, what I now use is a pellet grill. I have a nice collection of stones I use in it and get a great wood fired flavor on the sorts of pizzas with thicker crusts that you want to cook at lower temps of say 400 to 500 degrees. Unlike my relatively inexpensive Camp Chef, some of the higher end units will get up well over 600 degrees F. On the plus side it throttles down to a smoky 180 or so which is perfect for absolute first class traditional bbq so the tradeoff is well worth it to me.