I got my Fire for Christmas, with a cover. I don't know the exact one, but it looks like this one:
http://www.amazon.co.uk/Amazon-Kindl...6905320&sr=1-5
Where you slide the Kindle in, it's completely framed all the way around by the leather border. The top flap can be secured closed by an elastic band (like you see on high-end notebooks or journals), and the cover can be folded back the other way to prop it up in a landscape with varying degrees of angle. I like it well enough.
Note: no light on this one, the Kindle Fire is totally backlit so I don't need one. (I don't know if other Kindles are lit, from the sounds of it they aren't.)