My cat would eat only a specific brand of cat food. Rather, she eats some others too, but dislikes them and meows when she doesn't get her favorite brand. She doesn't even eat cooked meat (she does like the piece of raw meat I give her from time to time), but rather just plays around with it.
As "desert", I often give her milk, as she loves it. She actually can't wait for me to get up in the morning so she can receive her daily dose of milk.
She rarely would eat canned cat meat, but that is because I fed her that meat when she was a kitten, so she is fairly used to it. She won't taste a lot of it though. I swear they put something addictive in the dry food for cats.
Though I have to admit that the other two cats eat what anyone would expect the cat to eat - any meat, dry food, milk, etc.