Silence, thou art nothing more than pagan barbarians, to be in subservience to Westerners!!
Sarcasm hath spoken.
On the whole though, the large eastern countries aren't first world countries (with the notable exceptions of Japan, South Korea and a few others), but developing countries instead such as India and China, the two countries with the largest population on the planet. Because they are developing, they are starting to accumulate the wealth that is associated with higher tier countries, but the government, infrastructure and the general populace are in a state of transition and still "look" like lower tier countries.
So there is that perception that eastern civilisation is inferior to western civilisation. Wait a few decades for China and India and the like to stablise and try to bridge the gap between extremely rich and extremely poor and we'll see how "barbaric" they look.
In any case, you'll have to define "eastern" and "western" culture. Western culture is mostly associated with Western Europe, so in terms of antiquity roots, we're talking about the Greeks and Romans here, but if you consider the Egyptians as "eastern" culture, then well... score major points for the easterners. Technically, by that regards, Phoenicians are also eastern, so Carthage and pretty much anything North Africa has given during that timeperiod goes to the easterners.
It's probably best if split east up into Middle East and Far East.
Also, it's foolish to say that eastern civilisation hasn't contributed much to society.
Considering that many eastern countries lived in relative isolation with little opportunity to interact with different civilisations, or different races, with vastly different cultures, then they've done very well for themselves. A simple wiki check will show how much China alone has contributed, discovered and invented.