In a medium saucepan, combine peaches, wine, cinnamon, and cardamom over medium-high heat. Bring to a boil, reduce heat, cover, and simmer for 10 minutes or until peaches are soft.
Remove peaches from heat and let cool slightly. Puree in food processor or blender until smooth. Add honey, lemon juice, yogurt, and vanilla and pulse until smooth. Thicken with additional yogurt if desired.
Refrigerate until chilled. Ladle into bowls, garnish with fresh mint, and serve.