Alot of Indians look very "Euro" as you put it, ...and alot don't. There is a huge diversity among that population,
similar to Italians. You have a huge amount of light skinned, light haired, light eyed, tall italians, ...then you have a large amount of olive skinned, dark haired, dark eyed, short italians, ...and every combo in between.
The dark Eye-talians are like that because of the Moors, if you ever have seen the Murals and Mosiacs of Rome and Pompeii, you 'll notice that they were fair and dark haired. When the moors (North Africans) came, they changed the complexion, hair (kinky) and perceptions of beauty. Some Sicilians look "black".
What TA says, is why I believe there are a lot of light eyed Euro looking Indians, but they try to push that look in Bollywood. AnNd furthermore, they should renamed it, Bollywood sounds lame!