Your are being emotionally and physically abused.
He may do the same to your daughter. Or your daughter will grow up seeing her mother being abused. Worse case, she thinks you are at fault. And grows up believing men mistreat women because women deserve it.
You have a duty to protect yourself and her. The xbox is neither here nor there. She is a child who doesn't understand and cannot make good decisions about this situation. That's your job.
There is no way you can control this situation. There is no way you can fix him. There is no way you can bend yourself into a shape he will be pleased with.
So, I think your goal from here is to find out what resources are available to you and what steps you need to take to get him out of your house and keep your little one safe.
I can understand you hesitating to just call the police before you know the rules are or what will happen. You need to find out what support is out there and how things work, so when you are ready to act you can do so with confidence. You will be scared, of course, but you will have a plan you understand.
I am not sure where you would start, health visitor, citizen's advice bureau? Just someone who can point you towards the experts who can lead you through.
You mentioned going to your parents for lunch. Can they help support you through this?
I wish I could give more detailed, practical, knowledgable advice. My heart goes out to you. It's awful and you don't deserve it. It will take a lot of strength and courage to unwind this situation.