Agreed, that is why New Vegas was so much better than Failout 3. They actually had original storyline which expanded on previous plots instead of basically ramming together plots from FO1 and FO2 into a lackluster third game.
No, New Vegas was better than 3 because 3 was just a lazy fanfic, while NV is a continuation of the actual story. The fact we have to even acknowledge Bethesda's hackjob of a story as cannon makes me grind my teeth.
As to what happened to Asia, I'd say a lot of it would be devestated. Not just from the nuclear bombs, but because China and India are 2 of the most densely populated countries in the world, the effects of disease on their mutations would have done a lot to wipe out most of mainland Asia. Russia probably faired better, though my guess is a few "errant" nukes found their ways to some of the more major cities, but since most of the Cold War USSR was already living like a nuclear holocaust had occured since the end of WW2, the people were probably like "Eh." and were able to cope with the devastation much more easily than most the rest of the world. Since Japan is on the Jet Stream, I'd think even if no nukes hit, a fair bit of fallout would have found it's way to Japan, and maybe even the aforementioned disease.
Areas I'd be more interested in learning of would be places not targeted by the war, which more or less had a First World infrastructure, like Australia.