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Photo: Captain76, CC BY-SA 3.0 via Wikimedia Commons
A famous scenic spot, especially in autumn. Walking between Nagatorobashi (長潭橋, bus stop and free parking) and Shosenkyokageenomori Museum (昇仙峡影絵の森美術館, bus stop and free parking 500 m further) makes for a pleasant and easy two-hours walk with nice waterfalls and huge rocks. Once you are there, you might as well take the ropeway (¥1200) to see more beautiful landscapes around.
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武田神社
A shrine dedicated to Takeda Shingen, considered to be among the most powerful warlords during the Warring States Period. It was built where his own residence once stood. There is a small treasure house by the shrine's honden.
舞鶴城公園
Kofu Castle was largely demolished in the 19th century. Now it is more of a pretty park than a castle. The walls however remain impressive. Though it doesn't compare well to the great castles of Japan, it is certainly in better shape than Fukui Castle. Reconstruction works are ongoing, with parts of it being rebuilt according to traditional methods. There now exists a castle tower and a very impressive gatehouse (this being separate from the rest of the castle, north of Kofu Station). There are frequent talks of rebuilding the donjon.
山梨県立美術館
This museum has some interesting paintings including several by well known artists.
山梨中銀スタジアム
Home of the local football team, Ventforet Kofu.