You can discover anime series suitable for children or family viewing by checking out platforms like Crunchyroll, Funimation, or Netflix, which often have a dedicated section for kids' or family-friendly anime. Additionally, websites like Common Sense Media provide reviews and recommendations for age-appropriate anime series. You can also look for popular series like "My Neighbor Totoro," "Pokémon," "Studio Ghibli films," "Sailor Moon," or "Kiki's Delivery Service," which are generally safe for children and enjoyable for the whole family.