South Asians have always had bollywood for entertainment, they never really needed hollywood. They have their own mega-stars, to the point where some of them (mostly women) have been offered roles over here and have turned them down. Things are changing with the younger generation and you are starting to see more South Asians in popular media so who knows what will happen down the line.
As for other areas, two governors, even though they are c00ns, are south Asian. The CEO of Microsoft is an Indian, the creator the USB is an Indian, an Indian owns the Sacramento Kings, they are all over the corporate world and in silicon valley...they may be low-key but they aren't insignificant.