Cook the Sausage: Heat olive oil in a large heavy-bottomed pot or Dutch oven over medium-high heat. Add sausage slices and cook until browned, about 4–5 minutes. Remove and set aside.
Sauté the Vegetables: In the same pot, add onion, bell peppers, and celery. Sauté until softened, about 5–6 minutes. Add garlic and cook for 1 minute until fragrant.
Add Rice and Spices: Stir in rice, Creole seasoning, smoked paprika, cayenne, thyme, and bay leaves. Cook for 1–2 minutes to toast the rice lightly.
Add Liquids and Tomatoes: Pour in chicken broth and diced tomatoes with their juice. Stir to combine. Bring to a boil, then reduce heat to low, cover, and simmer for 20 minutes, or until rice is tender.
Add Shrimp and Sausage: Stir in shrimp and browned sausage. Cover and cook for an additional 5–7 minutes, until shrimp are pink and opaque.
Final Seasoning: Taste and adjust salt, pepper, or spices as needed. Remove bay leaves.
Garnish and Serve: Sprinkle with sliced green onions and chopped parsley before serving.