Gosh, I don't know if I can remember all of them, but lets see...

Dogs:
Hidi: Doberman. The first dog I had as a kid. She was born the same day as me!
Bandit: GSD/wolf hybrid. Beautiful dog, went to the bridge way too soon.
Sadie: Basset hound. She was a hoot!
Lady: Cocker spaniel. Pain in the butt but I loved her all the same.
Odie: English springer spaniel. Awesome dog, great friend.
Blue: Doberman. He was my pal all through middle school and high school. Best friend a person could ever have
Shiloh: GSD/wolf hybrid. Another great dog. He lived to be almost 20!

Cats:
Tiggus and Crybaby: A pair of sister cats my mom had when I was born.
Momma Bear: an outdoor cat that I adopted as a kid.
Remus: My first cat as an adult. He got adopted by a sweet old lady
Spook: Still owned by her.
Hoodini: Adopted by someone who really got along with him
Isis: still owned by her

Small critters:
Ratso: first rat my brother had but I adopted him unofficially
Maxwell: my very first rat that I got on my own
Chestnut: a chipmunk my mom rescued
Cinders and Cocoa: two sister rats I adopted at the same time
Cleoratra: first rat me and the hubby got as a married couple
Banana: Awesome rat I adopted from a PT member!
Salazar: A snake
Rogue: Awesome rat that went to the bridge way too soon
Torias Dax: Leopard gecko and beautiful soul.
Rodney McKay: My current hamster buddy (intro thread in this forum!)
Leonard: Beta fish. Pretty neat guy for a fish
Various fishes: Lots of tropical fish over the years

I think that's it!