Place the beef, mushrooms, onion, garlic, red wine, beef broth, Worcestershire sauce, paprika, thyme, salt, and pepper in the slow cooker. Stir everything together so the meat is coated.
Cover and cook on low for 7 to 8 hours or on high for 4 hours until the beef is fork-tender.
About 30 minutes before the end of cooking, whisk the flour with 2 tablespoons of water to form a slurry. Stir the slurry into the slow cooker to thicken the sauce.
Turn off the heat and stir in the sour cream until the sauce is smooth and creamy.
While the sauce finishes, cook the egg noodles in a pot of boiling salted water according to the package directions. Drain the noodles and divide them among four bowls.
Spoon the stroganoff over the noodles and sprinkle with chopped parsley before serving.