Also noteworthy in Algeria: https://en.wikipedia.org/wiki/Timgad
(I think I read somewhere that Algeria has the most Roman ruins outside of Italy, although I could be mistaken)
It's not even noon and I've already thought about ancient Rome today!
I wonder how many other "Pompeii of ___" exist. I also know of the "Pompeii of Central America" (Joya de Cerén in El Salvador).
Jordan is well worth a visit to see Jerash, Petra, Wadi Rum and other sites. You can also eat hummus 3 meals a day, which is a definite bonus. I went a few years ago with my family and it felt a lot more friendly, relaxed and safe than you might expect, given its location.