Hi Steve,
Welcome to the forums and thanks for the query! I would imagine that game design would be an awesome field to be in with all the great new games I see out there. I would recommend looking at the larger orgs or even government as they are a great place to start for a grad and then to move into more niche areas after a couple of years. You will get some excellent training and growth all while pursuing a passion.
Some great ones are IBM, Google, Microsoft, Accenture, Centrelink..
Accenture are taking on HEAPS of IT grads next month and their Grad Recruitment Lead is on our forums this Thursday. That said, most niche companies while likely to be looking to employ someone with experience would be keen to train and get someone in who is fresh and young. Aristocrat had a posting on our site for the month of July looking for a game designer so you may want to start there for the niche market. There applications closed on July 30th but they may make an exception for you or have other roles available. Make sure to let them know where you heard it!
Get in touch with Jeanette Jones there on 02 9013 6866 to see what they have on offer!
Cheers,
Adam
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