Imagine after a very long session of brainstorming, you come up with a name for your pet that you feel unique, and then come across a dozen other people who have the same name for their pet as yours. It would get embarrassing.
Just because you have a favorite character from a show, you need not name your pet after them. You could give it that name if it's personality is similar to the character. For example, if Wesley from Star Trek is chosen, your pet needs to be vocal (whiny and obnoxious), immature, and yet somehow incredibly intelligent.
Names of Celebrities or Politicians
Pets named after famous people: Hubert and Humphrey (former vice president of the United States Hubert Humphrey) the guinea pigs, Jiro (bass guitar player for the band GLAY) the cat
Are you a huge fan of George Clooney? Then maybe Clooney is a good name for your dog. If you are a big Hillary Clinton supporter, then maybe Hillary is a fitting name for your pet hamster.
Let us take examples of others who've named their pets after the name for the animal in another language, like Katze (German) or Neko (Japanese) for a cat. This seems more sophisticated than using 'Kitty' to point out any cat you find.
If you find a scrawny eight-week old kitten from the shelter, it is obvious that you would need to rename her. Sifka is the name of a Finnish princess in Norse mythology. It might make a good name for your pet.
These are just a few suggestions if you're really wanting to pick a name with a certain meaning of significance to it. Still, perhaps, the most tried and true name by which most pets (and even people) have been named is to simply look them in the eyes and follow your heart.
No matter what your pet's name is, remember that the important thing is not what you call it, but the bond that you and your companion animal share.
Don't stress over it too much, because there are far more important things than a name. Besides, your cat won't ever know he was named after George Clooney. All he knows and cares about is that you feed him, scoop his poop, and give him lots of love and attention.