Photo: Tyg728, CC BY-SA 4.0 via Wikimedia Commons
Meaning "heart of the soul's retreat", this temple west of the West Lake is an active Buddhist temple at the bottom of a hill. Nearby you can take a chairlift to the top of the hill where there is another temple (walking up is also an easy set of stairs below the chairlift). This is one of the 3 oldest and most famous temples in China. There are hundreds of Buddhist stone statues carved into the cliffs in the "Peak Flying from Afar" section next door.
Lingyin Temple is a prominent Chan Buddhist temple near Hangzhou that is renowned for its many pagodas and grottos. Its name is commonly and literally translated into English as Temple of the Soul's Retreat.
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双峰插云 Shuāngfēngchāyún
The view of the highest mountains north and south of the lake, which can rise above the clouds.
Lin Biao Hangzhou Palace (林彪杭州行宮)
A secret military command center built by Lin Biao in April 1970, hence the name "704" project. The underground tunnels cover more than with many heavy doors that could withstand nuclear and gas attack, and an elevator that directly reaches Lin Biao's bedroom.
龙井茶园 Long Jing Cha Yuan
Longjing and other tea fields further west are best visited during the harvest period, usually from the first week of March till after May Holiday, when everyone is out in the field picking tea and the tea that you can purchase is of the best quality (tea crops from later in the year have had their leaves damaged by the rain). Entrance to the fields is free of charge.
植物园 Zhi Wu Yuan
If you can't make it to Suzhou, these gardens aren't bad, especially in the spring and during the brief period when the leaves change in the fall. There is also a peacock farm, some nice ponds, and basically a wide range of plants and ecosystems to walk through. The redwood tree that Nixon donated during his visit has since died (in 2001). The flower nursery is also nearby.
This is more than 3 km long and one road west of the Su Causeway. It starts at the intersection of Beishan and Shuguang Road (which becomes Yanggong Causeway once you are south of this intersection); the causeway runs north-south. Yanggong Causeway includes Quyuan Garden (aka Qu Garden aka Qu Courtyard), which is the most popular spot to see tons of lotus blossoms (late spring > summer). The water area to the west of the top of Yanggong Causeway is Maojiabu Scenic area, with orchids blended into the water scenery. Another tourist spot on Yanggong Causeway is Mr. Guo's Villa, which was built in 1907 and is considered one of the most "classical" gardens in Hangzhou. At the southern end of the causeway, just before Nanshan Road, is a fish-viewing pond.
曲院风荷, Quyuanfenghe
At the west of West Lake, just in front of the Yuemiao (岳庙), in it there are a lot of shops.