A large park at Qingbomen (清波门), when orioles can be heard singing.
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吴山广场 Wúshān Guǎngchǎng
Wushan Square and Wushan Hill are major town centres in Hangzhou. The view from the top is excellent on a clear day, and there are also trails around the hills from behind the pagoda. The pagoda itself has been modernized with an elevator and nice open-air tea house at the top, but the original bell is still intact and in use. This area also features easy access to Hefang Jie shopping street at the base of the hill, full of small pedestrian streets and shopping stalls. It is also extremely close to the West Lake.
雷峰夕照 Léifēngxīzhào
The pagoda (see below for full description) is lit up at night. It is best viewed from across the lake, for example from the spot indicated here.
Lesser Yingzhou Isle, 三潭映月 Sāntányìngyuè
Built in the early 1600s, this is the largest island on the lake. When there is a full moon, candles inside the pagodas are lit, and in the candle light it appears as though you see the moonlight (if you are romantic enough to see it), hence the name.
Xihu
Hangzhou's most famous scenic sight. It is traditional to see the 10 Scenes of the West Lake and 10 New Scenes, and thousands of the visitors dutifully do so every year. However, these particular sites are overrated, and often seasonal (Snowfall Over Broken Bridge, etc.). Rather than make a checklist and walking back and forth looking for them, simply spend a clear day wandering the circumference of the lake and the causeways, take a ferry to the islands, and you will probably cover most of the sites anyway. The lake is quite large: the walk around it is about 12 km long.