the right way is "making money for a long time". plenty of dishonest businesses make a lot of short-term money. the really good players are in it for the long haul, which frequently means honesty, decency and sustainability.
I would go one further and say that if you see a corporation that has been around for decades the odds are better than even that they have been / are dishonest.
what about cisco? they seem to be pretty decent. they buy small companies and merge them in nicely and profit by it.
what about nike, which had a bad child-labor image back in the 90s and has really turned things around (though perhaps doesn't have a means to demonstrate this against the competition ?).
it is true that culture is changing. our concept of 'good' is becoming more humane, and possibly less financially driven. so yeah, we'll see what companies look like in 20 years.
Cisco, indeed seems to be doing ok in this respect.
Nike still had that image in 2001, yes, they've done a pretty good job of PR to indicate they're working on cleaning it up but I am not yet convinced that it's a solved problem. By the way, Nike has also been convicted of copyright infringement (a much lesser charge, the child labor situation really is in a different league).