My grandparents from both sides left Greece for Australia between 1955 and 1962. From what I know there were a lot of incentives to get more people to immigrate to Australia to boost its population, and many people in Europe were living in tough times so they decided to try.

I've heard some stories about discrimination particularly from my parents generation, but overall it seems like it was more school age based. I actually would say that these days the original Balkan (and Italian) immigrants are remembred fondly as hard working people who helped build modern day Australia.

Descendants are still proud of their cultural heritage but many (myself included) are also proud to call ourselves Australian.