The Matsu Archipelago is a group of small islands off the coast of China that belong to Taiwan. Acting for a long time as military outposts for Taiwan, the islands have recently opened to tourists. Here you can find traditional stone house villages, magical "blue tear" bioluminescent phenomena, wild sika deer, military  museums, a Mazu memorial park including the largest Mazu statue in the world, a variety of local food, and much more to explore.

Background:
Thousands of years ago, stone aged peoples once inhabited the Matsu Islands. These stone aged people later disappeared. 
The Matsu islands were inhabited again around the Song Dynasty (990 - 1200 AD) by Chinese Fisherman, the descendants of whom still inhabit the islands today. 
Because the Goddess Mazu's corpse washed ashore on this island, Nangan is also known as Matsu Island. 
During the Chinese Civil War, Matsu was used as a military  outpost for the retreating ROC. During the years that followed, it withheld shelling and threats of invasion from China, helping to keep Taiwan free of communist control.
In 1992 after cross straight relations had warmed up, martial law was lifted on the islands and tourists were allowed to visit.
In  the year 2000, a ferry link with Fuzhou started to provide constant China Mainland visitors to the island, as part of the three links with China. 
In 1994 Beigan Airport was opened, and was the only airport in Matsu for 9 years. In 2003, the Nangan Airport was opened, which significantly lowered the number of travelers to Beigan. However fast and convenient boat travel has made it so that most tourists travel to both islands.

Matsu (or officially Lienchiang County of Fujian Province 連江縣) consists of 36 islands or islets, with 5 major isalnds: Nangan, Beigan, Xiju, Dongju, and Dongyin, and minor islands including Daqiu, Xiaoqiu, Gaodeng, and Liangdao.  
Nangan has a population of 4,000 people, and is the largest island in Matsu in terms of population and geographical size. 
Beigan Island is the second largest island in Matsu (behind Nangan), and a population of about 2,500.
Xiju and Dongju Islands sit next to each other and have a combined population of 1,500 people. 
Dongyin is the third largest island in terms of size and population, with about 1,300 people. 
Daqiu is a small island near Beigan with a population of 1 human and about 300 wild sika deer. Xiaoqiu is another small uninhabited rocky islet next to Daqiu. 
Gaodeng Island and Liangdao Islands are also sizable islands in the chain, but are military islands that are currently closed off to tourists.

How to get there:
The easiest way to get around the islands is take a plane/boat to Nangan and then go island hopping from there. Nangan is the main transportation hub for all the islands. 

Dongyin Island:
By Boat: There are daily ferries from Keelung Harbor that usually take an overnight trip to Nangan, passing through Dongyin Island. The price for a one way ride is 400-2000 NT depending on the type of accommodation you want on the boat.  
Boats from Nangan leave twice a day and take 2 hours. The price for a one way ride is 350 NT. 

Beigan Island:
By Boat: There are boats from Nangan Fu'Ao Harbor (南竿福奧港) to Beigan Baisha Harbor (北竿白沙港) every hour from 7 AM to 5 PM. There are no daily routes to Beigan from other islands (except Daqiu). 
By Plane: There are flights to and from Taipei Songshan Airport three times a day via Uni Air.

Daiqu Island:
Public Ferry from Nangan Fu'Ao Harbor (福澳港) (April to October):
350 NT round trip per person （Stops at Baisha Harbor in Nangan)
Nangan departure times: 9:50 AM, 1:30 PM, Daqiu departure times: 12:10 Noon, 3:40 PM
Trip takes about 20 minutes.
Public Ferry from Beigan Qiaozi Harbor (橋仔港)  (May to October):
300 NT round trip per person
Beigan departure times: 8:30 AM, 2:30 PM, Daqiu departure times: 10:30 AM, 4:30 PM
https://hotels.matsu.idv.tw/ferry.php 
Trip takes about 10 minutes. 
Chartered ferries: Around 300 NT per round trip.

Nangan Island:
By Boat: There are daily ferries from Keelung Harbor that usually take an overnight trip to Nangan, passing through Dongyin Island. 
There are boats from Beigan Baisha Harbor (北竿白沙港) to Nangan Fu'Ao Harbor (南竿福奧港) every hour from 7 AM to 5 PM. 
By Plane: There are flights to and from Taipei Songshan Airport three times a day via Uni Air.

Dongju and Xiju Islands:
By Boat: Ferries from Nangan leave every 3 hours, with three trips per day. The trip takes about an hour. Price is 200 NT one way. 

Price (to Nangan):
By Boat:
500-2000 NT per person (one way from Keelung)
160 NT per person (one way from Beigan)
By Plane:
​About 2000 NT (one way from Taipei)

How to get around the islands:
Matsu has large, hilly islands and it would be very hard to get around on foot or bicycle. We recommend one of the following
By Scooter: We recommend riding a scooter as your #1 choice. It's fast, convenient, and there isn't much traffic on the island. A scooter will cost about 500 NT per day to rent.
When braking on hills, use both brakes, otherwise you could lose traction on one tire and skid. Don't stop or park on a slope. Also, some hills that are too steep are closed off for scooters.
By Car/Taxi: You can rent a car or hire a taxi for 200O NT per day.
By Bus: There are buses that goes around the islands, but wait times can be 30 minutes or more. 

When to go:
We recommend going between April and June when the "blue tear" phosphorescent microbes in the water will be the most visible at night. Also, winters can be cold and windy and summers very hot, and there could also be typhoons in the summer and fall. 

Map:
Please see below:

Kinmen (aka Jinmen or Quemoy) is a group of islands off the coast of Xiamen, China, belonging to Taiwan. For years it was the front lines and closest territory to China during the Chinese Civil War, which has not officially ended. Now that the war with China has come to a close due to the establishment of the "status quo," Kinmen has been open to tourism, especially from that of China. Kinmen has the highest concentration of museums and historical buildings in almost anywhere in Taiwan, as well as local cuisine, beaches, and scenery, making it an ideal vacation destination for both Taiwanese, Chinese, and other foreign tourists.

Background:
Kinmen first began to be settled by Chinese people in the Tang Dynasty (around 700 AD). It got it;s name Jinmen "Golden Gate" from the Hongwu Emporer who set up military operations on the main Island during the Ming Dynasty in 1387. The name Quemoy comes from the Hokkien pronunciation of the name.
After the fall of the Ming Dynasty (1644), Ming Loyalists continued to occupy Kinmen under the Prince of Lu and Kongxia, but Kinmen was eventually captured by the Qing in 1663.
The Islands were never ceded to Japan.
After the fall of the Qing Dynasty, Kinmen (along with the rest of China) was governed by the Republic of China (ROC). When the ROC lost the Chinese Civil War, they retreated to Taiwan under the leadership of Chiang Kai-shek, but still maintaining some outlying islands off of the west coast of China. The ROC army dug into Kinmen and fortified almost every inch of the island, holding off PRC invasion. Perhaps the most pivotal battle in holding off the communists was the battle of Guningtou in which 9,000 PRC troops were defeated and captured in an attempt to take back the island of Kinmen. The battle effectively stopped the PRC from advancing toward invasion of Taiwan, because in 1950 the Korean War started, demanding much of their manpower, buying time until the Sino-American Mutual Defense Treaty was signed in 1955, offering protection by the United States. against PRC invasion of Taiwan. Because of this, the battle laid the groundwork for the status quo between China and Taiwan as we know it today.
Kinmen was kept as a military reserve until it was made into a civilian government in the 1990s. Travel was reopened with China in 2001, which really opened the door for the tourism sector on the islands mainly driven by Chinese tourists. Many businessmen also moved to the island to gain easy entry into China from Taiwan. In 2015 the Taiwanese government made it easier for Chinese tourists to visit Kinmen by allowing them to apply for via on arrival.
Currently the island's main industry is tourism, but there is also large Sorghum Wine production industry, as well as agriculture and fishing.
Kinmen is a stronghold for the KMT party, mainly because the residents resent the fact that many in the pro-independence DPP would consider returning Kinmen to China in an independence treaty.

When to go:
Autumn is said to be the best time to visit, when there are still warm temperature and not too much rainfall. Spring also has great temperatures, but seasonal rains may dampen your travels. Summer can get really hot, which might be totally fine with you. The winter is cold and windy; don't go in winter.

How to get there:
By Plane: The only way to get to from Taiwan to Kinmen is via a airplane. Planes leave daily from Taipei, Taichung, Chiayi, Tainan, Penghu, and Kaohsiung.
By Boat: You can reach Kinmen from Xiamen at Wutong port (五通碼頭) or Quanzhou at Shijing Port (石井碼頭), connecting at Shuitou Port (水頭碼頭).

Map: Please see below: