In a Dutch oven, heat the oil over medium-high heat. Cook the onions, garlic, basil, and crushed red pepper in hot oil for 4 to 5 minutes, stirring frequently until softened. Add the sweet pepper and cook and stir for 2 minutes. Add garbanzo beans and cook 2 minutes more, stirring occasionally. Add the broth and olives. Bring to boiling; reduce heat to medium. Simmer, uncovered, for 5 minutes, stirring occasionally.

Stir in the grape tomatoes. Cook and stir for 2 minutes, just until wilted and heated through. Remove chili from heat. Stir in 1/2 cup feta cheese and lemon peel until cheese is melted. Top each serving with additional cheese.