If you're looking for Pic A Pet Name alternative, you might want to check AIPetAvatar. The service lets you upload a photo of your pet and offers a range of transformation options, delivering high-quality results in a matter of seconds. Like Pic A Pet Name, it works with a broad range of pets and offers a satisfaction guarantee. But AIPetAvatar is geared more toward image transformations than name generation, and it costs $2.99 per transformation.
Another option is Pet Booth, which transforms your pet photos into custom, artistic and photorealistic portraits. It accepts multiple high-quality photos and uses machine learning to create a range of custom images. Right now it only works with cats and dogs, but Pet Booth can help you create custom and personalized content for gifts, social media or mementos. It's relatively fast and inexpensive, with the Pet Booth Pro package costing $9.99 for 100 images.