Prep ingredients. Dice the onion, mince the garlic, drain and rinse the canned white beans, chop the jalapeño (if using), and open the can of green chiles. Measure spices and set aside.
Heat the pot. Place a large heavy-bottomed pot or Dutch oven over medium heat and add 1 tbsp olive oil.
Sauté aromatics. When the oil shimmers, add the diced onion. Cook, stirring occasionally, until the onion is soft and translucent, about 4–5 minutes. Add the minced garlic and chopped jalapeño and cook 30–60 seconds more until fragrant.
Brown the turkey. Add 1 lb ground turkey to the pot. Break it up with a wooden spoon and cook until no longer pink, about 5–7 minutes. Drain any excess fat if you prefer (for extra-lean turkey there may be little to no fat).
Add spices and chiles. Stir in 2 tsp ground cumin, 1 tsp dried oregano, 1 tbsp chili powder, and 1/2 tsp smoked paprika (if using). Add the can of green chiles. Cook for 1–2 minutes, stirring, to toast the spices and let flavors bloom.
Add beans and broth. Pour in the drained white beans and 4 cups chicken broth. Stir to combine and bring the mixture to a gentle simmer.
Simmer. Reduce heat to medium-low and simmer uncovered for 15–20 minutes, stirring occasionally, until the chili has slightly thickened and flavors have melded.
Finish creamy base. Remove the pot from heat and stir in 1/2 cup Greek yogurt (or 4 oz light cream cheese). Mix until fully incorporated and smooth. If the chili is too thick, add a splash of broth to reach desired consistency.
Brighten and season. Stir in 1 tbsp fresh lime juice. Taste and adjust salt and pepper as needed.
Serve. Ladle the chili into bowls and top with optional garnishes: chopped cilantro, sliced avocado, shredded cheese, or crushed tortilla chips.