Sauté diced chile peppers in 1 Tbsp. hot oil in a Dutch oven over medium-high heat 2 minutes. Stir in navy beans and next 3 ingredients; bring to a boil over medium-high heat, stirring occasionally. Cover, reduce heat to low, and simmer, stirring occasionally, 15 minutes. Stir in peeled shrimp, and cook, uncovered, 5 minutes. Serve with desired toppings. (See "Toppings for Chili" below.)
Toppings for Chili: Good choices to add to your bowl include sour cream, salsa, diced plum tomatoes (they have a meatier texture and are easy to find in winter), shredded lettuce or spinach, shredded cheese, diced onion, sliced green onions, chopped cilantro, chopped avocado, sliced jalapeño peppers, cornbread croutons, and tortilla chips.
Note: Just before serving Shrimp-and-Poblano Chili, add a splash of flavor to each bowl with fresh lime juice and a sprinkling of chopped cilantro.