Flowers that are safe for cats are roses without thorns, orchids, sunflowers, snapdragons, and gerbera daisies. It is usually safe when there is light nibbling on such flowers. It is important to stay away from flowers that are known to be harmful such as lilies, tulips, and daffodils. However, it is important to keep all types of flowers away from cats since heavy nibbling can cause discomfort.