The phrase "of family fun" is an adjective phrase that describes something as being enjoyable, entertaining and suitable for people of all ages to participate in or experience together. It often refers to activities, events or destinations that are designed to provide amusement and bonding opportunities for families. These could include things like going to a theme park, having a picnic at the beach, taking a family vacation, attending a community event or playing board games together at home. The phrase suggests that these activities promote togetherness, create shared memories and provide an opportunity for everyone in the family to have fun and enjoy themselves.