What cat breed do you think is the friendliest a family?

Siamese and Persians are not that accommodating to adults, let alone children. I don't know anything about Abyssianians, but my money is on the Rag Doll. They let themselves collapse and go boneless and get carried around by small children, and they're lightweight, too. Maine Coons, on the other hand, are hefty and almost big enough to put a saddle on (but don't tell the children I said that). They're pretty patient. Good luck.