non-butter sauces for chicken or meat?

We love sauce on our chicken but like to use olive oil instead of butter because of our cholesterol. Anyone have any? Here are a few we use. There's a mango one and a pineapple one too that work pretty well but I'd love to broaden my sauce vocabulary!

Black Pepper Vinegar Sauce for chicken:
1/4 cup rice wine vinegar
1/2 cup extra-virgin olive oil
3 tablespoons Dijon mustard
2 teaspoons honey
1 teaspoon kosher salt
3/4 teaspoon coarsely ground black pepper
Combine the vinegar, oil, mustard, honey, salt and pepper in a blender and blend until smooth. The sauce can be made 1 day in advance, covered and refrigerated. Bring to room temperature before serving.

Chicken with basil dressing
Ingredients
2/3 cup extra-virgin olive oil
3 tablespoons plus 1/4 cup fresh lemon juice
1 1/2 teaspoons fennel seeds, coarsely crushed
1 1/2 teaspoons salt
1 teaspoon freshly ground black pepper
6 boneless skinless chicken breasts
1 cup lightly packed fresh basil leaves
1 large clove garlic
1 teaspoon grated lemon zest
Directions
Whisk 1/3 cup of oil, 3 tablespoons of lemon juice, fennel seeds, 3/4 teaspoon salt, and 1/2 teaspoon pepper in a heavy-duty re-sealable plastic bag. Add the chicken and seal the bag. Massage the marinade into the chicken. Refrigerate at least 30 minutes and up to 1 day, turning the chicken occasionally.

Meanwhile, blend the basil, garlic, lemon zest, remaining 1/4 cup lemon juice, 3/4 teaspoon salt, and 1/2 teaspoon pepper in a blender until smooth. Gradually blend in the remaining 1/3 cup oil. Season the basil sauce, to taste, with more salt and pepper, if desired.

Prepare the barbecue for medium-high heat or preheat a grill pan over medium-high heat. Grill the chicken until just cooked through, about 5 minutes per side. Transfer the chicken to plates. Drizzle the basil sauce over and serve.