If you're after a thrifty option, your best bet is this Ann Demeulemeester Scarf. It's a wonderful piece, while not very costly. Also take a look at this McQ Scarf. It's an item you'll love which also doesn't cost the earth. You might also want to consider this Rick Owens Scarf. The price is very reasonable, but the effect on your wardrobe will be pretty fantastic.
If you have enough to afford it, why not look at this The Elder Statesman Scarf - a great luxury choice. While you're at it, also have a look at this Gucci Scarf. Yes, this item is expensive, but it does not mean it's not worth it. And how about the luxurious Fendi Scarf? Yolo, right?