Japan would be interesting, but hectic in the cities. There is a language issue as well. I would think that you may want to do some research or trip planning before going there.
Sydney was cool. It was relaxing, you don't need to rent a car (they have weekly train/subway, bus, & ferry passes for around $35 US) Youth Hostels in the city are decent and close to things. There are some better ones by the ocean and a little bit out of town. You can take a train two hours west to the blue mountains to go hiking and get away from it all.
You may also want to try Cairns, Australia if try will fly you there. I haven't been there, but it should be nice (unless it is the monsoon season).
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