Cook the rice. Prepare the rice according to the directions listed on the package.
Sauté the veggies. In the meantime, melt 3 tablespoons of butter in a soup pot. Add onion and pinch of salt and continue to cook over medium heat for 2 minutes, or until tender. Stir in the garlic and continue to cook for 20 seconds. Stir in the frozen carrots and peas and cook for 2 minutes.
Combine and simmer. Add vegetable broth and season with dried thyme and rosemary. Increase the heat to medium-high, add the crab meat and rice, and bring the mixture to a boil. Lower the heat to a simmer and continue to cook for about 5 minutes.
Make a roux. In the meantime, melt 4 tablespoons of butter in a saucepan. Add the flour and whisk continually for 1 minute. Continue to whisk while adding the milk. Cook, stirring constantly, until it thickens.
Put it all together. Add the milk mixture to the soup and cook for about 5 minutes longer, or until the soup is thickened. Lastly, stir in the heavy cream.
Serve. Garnish your creamy crab soup with chopped parsley, and serve!