Many types of dogs and cats and other animals have blue eyes.
Here are some great name suggestions for blue-eyed pets:
Frank Sinatra or Frankie or Sinatra or “Ole Blue Eyes”
Ariel – the Disney mermaid had blue eyes
Kyan (a blue crystal)
Robin (Robin’s eggs are blue)
Royal (as in the shade royal blue)
Tiffany (the jewelry store is know for its pale blue boxes)