I had a turtle. I don't remember what his name was. We got a dog when I was three.
My children grew up in a house with dogs and cats already established. Their own first pet were guinea pigs about 7 years apart. (They're also seven years apart in age.)
I don't count the one day pets like snapping turtles found in the back yard, strange insects caught in the bug keeper, frogs, toads, or lightning bugs. They were all looked at for a day then let free in the back yard.