I live in Busan, and in terms of livability, it's maybe the best Korean city, but as a tourist, I'd give it a miss, especially around that time of year when the beach scene is basically over.
Personally, I'd cut Busan out entirely. I suppose it's interesting as a port city, but I don't find it to be much different than Incheon or Seoul as far as tourist attractions are concerned.
HELLO!!!!!!!!!!!
Busan is the coolest city in South Korea!!!
1.from 8th to 16th October 2009 there is the Pusan International Film Festival
BEST film festival in Asia. If you can get the tickets it's a blast. View the schedule and allow 1 day for it.
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If you love to eat fish and raw fish (sushi Korean style etc.) it's Mecca. Not Jagalchi only but sea food restaurants around the city too. Price is much better than other places in S. Korea + food is so damn good. If you ask a local person who can point you not only to the obvious Jagalchi market but to other resaturants too it's a feast.
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Watching girls walking around Seomyeon can be a reason enought for many to go there. Busan has most beautifull girls in South Korea (genetic mix).
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visit the biggest mall in the world Shinsegae (in the Guiness Book of Records from 2009), opened in 2009 not just another mall
and a lot more