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To get to the Black Dragon Pool you can walk the canal path north near the main water wheel. It will take you to the south entrance of the park. The north part of the park is free and you can get there by walking around the south entrance and keep heading north. You should reach a street with the main entrance to the park. Keep going north and you will see a small bridge that leads to a large white building. The white building is the Dongba Museum, everything north of that is free. If the guards bother you at the gate, just walk back to the street and keep walking north and there will be another path to get in to the free part with no gates or guards to bother you. Further north of the park is a local college, and northwest of that is a small reservoir. The reservoir is a good place to take photos of the snow mountain when it is visible. On hot sunny days in the summer there will be lots of locals swimming there in the afternoon. At the local college you can find students to help you. The English building is the large pink one just right after you enter the south entrance. There is a student run café that is open in the evening from 18:30-22:00 in the "butterfly" building, which is opposite of the English building. As of 2007 the school had an English corner every Thursday after lunch (~13:00), and after dinner at ~17:40. The English corner is so-so, but it is a great chance to ask students about where to go, and cheap transportation. Many of them are from other places in Yunnan.
丽江古城, 大研古城 Dayan Ancient Town
Walk around, watch people, shop, drink and eat. There is a bonfire at around 19:00 at the Si Fang Jie (四方街), the central plaza. Many local folks dance there, apparently entertain themselves. Tourists are welcomed to join. And if you get there early in the morning, you can avoid the crowds.
木府; Mùfǔ
The palace where the Mu Clan of the Naxi people ruled for over 400 years. It is a large complex that extends part way up the hill behind it. There used to be a lot of high quality paintings in the palace and finely carved wooden doors, but most were destroyed during the Cultural Revolution. At the back hill of the Mu's Palace is the 'Lion Hill Scenic Area', which requires additional ¥40 entrance fee. At the top is a Daoist temple, with a few Daoists ready to give fortunes to visitors for a donation. A taste of Mulaoye Wine (木老爷酒; Mùlǎoyejiǔ), a kind of local alcohol, is available for ¥5 (in a shot glass), and there is also a free tea tasting area. Allow at least two hours explore this expansive complex and do wander off into the side courtyards as it will take you back to the main courtyards. If you are visiting Wangulou, exit the Lion Hill Park from the south exit which leads you right into the back entrance of Mu Palace.
黑龙潭; Hēilóngtán
Quite large place with some nice natural scenery together with traditional building styles. Don't forget to take pictures on the center bridge where the Yu Long Xue Shan (The Jade Dragon Snow Mountain) can be a perfect background. Popular with locals, whom you can find dancing or playing games such as mahjongg or Chinese chess. You can also hike up Elephant Hill if you're feeling energetic. Walk north along the canals from the waterwheels just to the north of the old town. It is about 10 minutes walk up-river.
东巴文化博物馆
A small museum featuring the Dongba religion and culture. Quite intriguing to see how other Chinese beliefs are related to the Dongbas.
束河古镇
Better than Lijiang if you want a place less commercialized; a horse ride in the town is an attraction.
茶马古道博物馆
One of the main attractions in Shuhe Old Town. The museum is housed in a former Buddhist temple, which was historically known as the Dajue Temple (大觉宫) and dates back to the late Ming Dynasty. So besides the exhibitions on the Old Tea Horse Road, one can also view some old Buddhist murals. More murals from the same time period may be seen at Baisha Old Town (see below).