If you look at Sanchong and Luzhou on a map, they seem to form an island, cut off from the rest of Taipei by rivers and parks. Luckily for the residents of this area, these unbuilt-up spaces house a great network of cycle paths where you can enjoy either a good bit of exercise or a laid back bike ride depending on your mood and energy levels.
geocaching
BATTLESHIP ROCK TO XIN BEITOU (軍艦岩往新北投)
You can combine a visit to this photogenic rock outcrop with a not-too-difficult walk to a rather pretty Japanese shrine and end up right next to Beitou's famous sulphur valley.
FENG QI SUNSET TRAIL (鳳崎落日步道)
An easy and leisurely afternoon walk taking in military relics. Bring your significant other and aim to finish the walk around sundown so that you can watch the sunset together as you gaze out over the Taiwan Strait.
WAI WA ZI SHAN TO HONGLUDI NANSHAN FUDE TEMPLE (外挖子山步道-烘爐地南山福德宮)
A ridge trail which skirts the southern edge of Taipei and takes in a couple of notable temples along the way.