At stock ratings, the EVGA is slightly faster, but the Asus has more OC headroom. See this: http://hexus.net/tech/reviews/graphics/57817-asus-gefor...
The Asus also has a reputation for running cooler and quieter. The difference is not huge though. I'd vote for the Asus because of the above reasons and because their driver and customer support are very good. It's also $40 cheaper.
http://pcpartpicker.com/parts/compare/asus-video-card-gtx780tidc2oc3gd5%2Cevga-video-card-03gp42884kr/
Edit: I should point out that I've seen at least one review showing the OC results in the EVGA's favor, but I haven't seen any saying the same thing about the cooling or noise levels.