We very rarely order pizza, but we did last week. I asked my son if mushrooms and olives sounded good. “Sure! Can we get pineapple too?” I love pineapple on pizza but wouldn’t want to impose on someone who doesn’t like it, so that made me happy. Everyone is allowed to dislike certain flavor combinations but I don’t understand the vitriol about pineapple on pizza.
The most common and neutral is בלי. Then ללא is synonymous, but more formal, and בלא also synonymous and even more formal, a bit archaic. They can be used for things and for persons. בלעדי is mainly for persons, but also for things in the inflected form (בלעדיה, בלעדיהם etc.).
I admit defeat. I was sure it's very common, and I'm still quite sure it was, once... but it's on 25 years old memory... We're still occasionally ordering pizza home, but no one in my home ever looks in the direction of either pineapple or meat. I checked now the sites of three chains. They all offer pineapple, but none offers pastrami, and none has a special name for the combination of Ananas and any meat...