Pet names today are a lot like baby names, with dog names and cat names often reflecting baby name popularity trends. All of the top dog names are also baby names, with the most popular names for dogs including Bella, Luna, and Lucy for female dogs; Max, Charlie, and Cooper for male dogs. Other trendy dog names that are also trendy baby names include Sadie and Lola, Milo and Bear. Top cat names include many of the same popular baby name choices. If you're looking for names for your dog, cat, fish, or other pet, here are the most creative, popular, and coolest pet names today..