In a large pot or dutch oven, over medium heat, render the bacon with the fresh and andouille sausages until browned.
Season the chicken with salt and pepper and add to the pot. Cook, stirring occasionally, until the chicken is browned. Remove all the meat to a bowl.
Add the onions and cook for about 15 minutes, until beginning to caramelize. Add the bell peppers, celery and garlic to the pot and continue cooking, stirring frequently, until vegetables are softened, about 5 minutes. Add the meat back to the pot.
Stir in the rice, thyme, bay leaves, paprika, cayenne, celery salt, one tablespoon of salt and 1 teaspoon of freshly ground pepper. Cook for about 2 to 3 minutes until spices are evenly distributed.
Turn the heat up to medium high and add the crushed tomatoes and chicken broth. Stir and bring to a boil. Reduce the heat to low, cover the pot, and simmer for 15 minutes.
Season the shrimp with salt and pepper and stir into the rice, along with the green onions. Put the lid back on the pot, turn off the heat, and leave to sit for another 10 minutes. The heat inside the pot will cook the shrimp.
Remove the lid, fluff with a fork, and serve