Jennifer Hudson and Robin Williams have won oscars. Julianne Moore, Johhny Depp, Peter O'Toole have not. It's a pageant.
Will Smith set out to play heroic characters in big action movies. It was his goal to be seen as a big grossing star as much as a skilled dramatist, if not more so. He told Charlie Rose that he looked at what the top grossing films of all time were, and he decided those were the roles he was going to go after.