The guy's still going strong.
It's also not so much of a team game - cricket statistics are much more likely to reveal an outlier than hockey, football, rugby or handball. It's possible to separate to a much greater extent a player from the quality of their team - if you put me and three other random guys on a basketball team with Michael Jordan, he would look a lot less impressive than he did with one of the greatest teams ever assembled! The same goes for Messi, Maradona, Gretzky, etc. Their talents need, and encourage to some extent, wonderful performances from their teammates to make passes, runs, tackles, interceptions, etc.
The only effect that a similar substitution would have on Bradman would be that he'd need to concentrate on 4s and 6s and keeping the rest of us 'in' long enough. If you wanted to sub in a North American sportsman as an outlier, it would need to be a baseball player, I guess :-)
For those not too familiar with cricket, that "average" isn't like a batting average in baseball. While incredibly impressive, it is not equivalent to getting a hit 100% of the time.
As for impressive feats above and beyond, Babe Ruth comes to mind. He hit more home runs in a season than many entire teams did at the time.
Jordan was widely regarded as one of the most famous people on earth for 15 or 20 years. His name is even more famous than his picture. I don't think there's much debate to be had about his global fame frankly. As basketball globalized rapidly in the late 80's / early 90's, it was his image intertwined with it, and it perfectly coincided with the rise of global media.
Actually, given India's huge population, I think it is more likely than not that more people are familiar with cricket than are familiar with baseball.
For example - http://www.forbes.com/sites/kenrapoza/2011/04/04/cricket-wor...
Ali and Jordan on the other hand are pretty much known by everyone. Pele would be another good example.
Let's not forget we have an international readership here :-)