1. I'd like a large sized cheese pizza.

2. I'd like a large-sized cheese pizza.
3. I'd like a large size cheese pizza.
4. I'd like a large-size cheese pizza.
5. I'd like a cheese pizza, the large size.

(Which ones are correct?)

Technically, the correct sentence is # 2.

However, in ordinary speech, all of them are right.

In fact, only English teachers would even know there's a difference.