If you don't mind cutting your way through some fat, the rib eye is generally more succulent, but the strip, or New York Strip, is an amazingly good steak. The fat is only on the end, very easy to cut around, and is mouthwatering and heavenly....and I hope you are ordering your steaks medium rare. If you need to have them medium well or well done, I don't recommend either. To me it would be a waste of money. Get a steak burger or something else. But when it comes to the choice between a rib eye and a strip, if you haven't been through cutting around a rib eye, I think you'll be better off with the strip. It's a delicious steak.