Interestingly, boeing has had a "super 747" with full length upper deck and a totally new wing on the books for a while. I think they like to be generally quiet about it and are taking a "wait see" approach. The A380 may work just fine on big international routes, while the 7E7 is directed at point-to-point flights that circumvent the biggest routes. Boeing seems to be on a good track as their orders for the 7E7 are very strong, much stronger than the airbus A350 equivalent. The airbus aircraft have been accused of being too innefficiant, but supposedly the "real numbers" are not really out there, so take that for whatever it's worth. Boeing kind of screwed up with the 777 though, it was so efficiant and so good that many customers that previously had 747s decided to go with 777s for the same role, thereby cutting the life of the 747 program a little short. That's not all bad of course, but it wasn't exactly what they expected.
On the airbus vs boeing issue, I have to take boeing. They are just as technologically advanced, but they have a different philosophy. The biggest deal for me is the auto throttles. On the boeing you hit the little autothrottle release buttons on the throttle, and then "you have the throttles". The boeing throttles also move as the flight computer/FADEC adjusts the engine thrust, which is great for SA. The airbus throttles do not move on the other hand, and they require you to "match" the thrust lever with the engine thrust roughly before disconnecting, and that is one more step you do not need to be performing at 200 feet on a precision instrument approach. Both aircraft are great and more alike than not, but this one little issue is a big deal for me and pretty much makes the difference in my mind.