I would only ever adopt a rescue, so my choosing of breed would be very limited to whats available at the shelter. A dog's needs, my ability to meet them, my lifestyle, and how our personalties get along is definitly the most important criteria.
That being said, the breeds (or mutts including these breeds) I would most like to have someday are:
Pomerinians
Papillons
Shihtzu
Chihuahua
Miniature Schnauzer
Miniature pincher
Chihuahua
Border terrier
Corgi
Yorkie
Greyhound
Border Collie
Bernese Mountain Dog