There are a few options that can complement a blue granite countertop.

1. White: A white backsplash can create a clean and classic look, allowing the blue granite to be the focal point of the kitchen. It also provides a nice contrast and enhances the natural beauty of the granite.

2. Gray: A gray backsplash can add a sophisticated and modern touch to the kitchen. It harmonizes well with the blue tones in the granite and creates a cohesive color palette.

3. Light blue or aqua: Consider using a backsplash in a similar shade of blue or a complementary hue like aqua. This can create a cohesive and harmonious look, emphasizing the natural beauty of the blue granite.

4. Beige or cream: For a more neutral and warm look, opt for a beige or cream-colored backsplash. This can create a nice balance and complement the cool tones of the blue granite.

Ultimately, the choice of backsplash color will depend on personal preference, the overall style of the kitchen, and the desired atmosphere. Its always helpful to examine samples and visualize how different colors will interact with the blue granite countertop before making a final decision.