While Sun Moon Lake was amazing and we didn't get enough time there to really give it justice, we really loved Alishan National Forest and Qing Jing Farm. If you go to Taiwan, these areas should not be missed. What I didn't realize about Taiwan is how mountainous it is. In Korea, the highest mountain reaches 1,950 meters, while the highest mountain in Taiwan reaches 3,952 meters. So the mountains in Taiwan are just much, much bigger. While we didn't get to go to the tallest mountain in Taiwan, Alishan National Forest is nearby that mountain and was filled with incredibly tall, beautiful, rugged mountains. We got to Alishan by taking the HSR train to Chiayi, and then a bus to Alishan Forest (it leaves right from the HSR station). We stayed one night in Alishan. While we were there we really enjoyed walking through the peaceful forests, sighting all of the different birds that are prevalent there, and seeing the views of the mountains. On a lot of the paths there was almost nobody in sight. If you'd like, you can also take train rides around the area on the old Alishan Forest railway, but Michael and I enjoyed just viewing the train and walking all of the paths. It was such a relaxing change from the busy city life of Seoul.
The other place we visited that I was really surprised how much I enjoyed was Qing Jing Farm (sometimes spelled Cing Jing farm). This farm is famous for herds of sheep that they keep as a tourist attraction. Being an animal lover, I thought this would be a fun and unique thing to do while in Taiwan. But, I was really amazed at how beautiful the scenery was around this farm. The cherry blossom trees were blooming early, the air was clean and the temperature was pleasant, and on all sides of the farm you could see for miles the beautiful mountains of Taiwan. It was so much fun to get photos of the sheep with the gorgeous background of the mountains. We could have stayed there even longer, as there is even more hiking and walking trails available to see the marvelous scenery of the area. To get to Qing Jing Farm, take a bus from Taichung or from Sun Moon Lake (with a bus transfer in Puli). If you have a few extra days to leave Taipei, I highly recommend coming to these areas. They really made our Taiwan trip complete!