Chef + cookbook author Sara Moulton's Slow Cooker Braised Short Ribs recipe is so good, she makes it instead of turkey on Thanksgiving.
Sara serves these with her 3-ingredient Horseradish Sauce.
Make-ahead tip from Sara: This is recipe tastes even better a few days after you make it. And, if you make it ahead, it is easier to remove the fat. Here is what you do: After the ribs are tender, transfer them to a bowl and strain the cooking liquid over them, discarding the vegetables. Let the mixture cool, cover and chill overnight. The fat will solidify on top and it is very easy to scrape off and discard. Then gently reheat the ribs and the liquid in a large saucepan until the ribs are warm. Strain the liquid and set it aside. Discard the bones and trim the excess fat and gristle from the ribs. Thicken the liquid following the instructions in the recipe, add the ribs to the thickened liquid, heat and serve.
For more slow cooker recipes, try Slow Cooker Buffalo Chicken Dip, Slow Cooker Teriyaki Chicken or Slow Cooker Pulled Pork.
Pat the ribs dry and season them on all sides with salt and pepper. Divide the oil between two large skillets (or work in batches with one, if you only have one large skillet) and heat over moderately high heat until hot. Add half the ribs to each skillet and brown them on all sides, about 10 minutes. Transfer them with tongs to the insert of a slow cooker.
Pour off all but a tablespoon of fat from each of the skillets, reduce the heat to moderately low and add half the onion and carrots to each of the skillets. Cook, stirring occasionally, for about 5 minutes or until golden.
Add the garlic to the onion-carrot mixture in either pan and cook 1 minute. Add the tomato paste, thyme and bay leaf, and saut for 2 minutes. Transfer the vegetable mixture to the slow cooker and, off heat, add half the wine to each of the two skillets the vegetables were cooked in. Bring the wine to a boil and simmer until it is reduced by about three fourths.
When the wine is reduced in each of the skillets (you should have a total of 1 cup from both skillets) add it to the slow cooker along with the stock. Put the lid on the slow cooker and cook on low for 8-10 hours or until the meat is very tender and falling off the bone.
Transfer the ribs to a platter with tongs and let stand until they are cool enough to be handled. Meanwhile, strain the sauce into a bowl. Discard the solids and return the liquid to a large saucepan. Skim off any fat that floats to the surface (or use a fat separator). Whisk together the flour (judge how much to use, somewhere between 3-5 tablespoons) and 1/3 cup water. Bring the cooking liquid to a boil and add the flour mixture in a steady stream, whisking. Bring the sauce to a boil, and simmer for 5 minutes. Whisk in the mustard, lemon juice and salt and pepper to taste.
Meanwhile, discard the bones and trim any excess fat and gristle from the rib meat. Add the ribs to the pot and cook gently just until heated through. To serve: arrange some rib meat on each plate, spoon some of the pan sauce over and top with Horseradish Sauce.