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10. Löwchen
The average cost is $5,000. Country of Origin: France or Germany The Löwchen, or Petit Chien Lion, called Little Lion Dog, is a non-sporting toy breed. Its European story starts in 1422, seen in old paintings and tapestries.

Löwchen ©Shutterstock/SSue Thatcher Bred for elite companionship, it basked in royal splendor. Once among the rarest, its numbers now grow.
This tiny dog, up to 18 pounds, is spirited, bright, and happy. Generally healthy for 12 to 14 years, pet insurance from Trupanion or Petplan is smart due to rarity.