What made you pick their breed?
What made you choose your individual dog?
If you don't have a dog, what's your favorite breed?
edited to add my answer:
I have a shiba-inu/beagle mix (I think) that I picked up from a shelter. I didn't have any particular breed in mind when I went and he seemed to have an awesome personality. He was the last of a litter of six and was all alone in his kennel and was so happy to go outside and just have attention. He's been the best sidekick ever.