Hey Hey! I'm not international but I am at Murdoch in Australia. Nexx on here is also at murdoch but is a fifth year, and Otakuvet? went to murdoch but I havent seen her around much since she came (on SDN that is).
I think the main reason people don't come to Australian schools more is competition and money. Around 1/3 of my class are Nth Americans - Americans or Canadians, but its costing each of them around $200,000 in tuition ALONE. Add on living expenses and that is a LOT of money!!!
The accredited schools here are Murdoch (WOOO!!! WE WERE THE FIRST!!!) Melbourne, Sydney and UQ(i think). Massey in NZ is also AVMA accredited. They are all first class schools that will give you a veterinary education equal or better to what you'll find in the US.
But yeah, for most people, I think its mostly about staying in your home country, and the money. SO MUCH MONEY!!!