Welcome to the Science Buddies forums. You have presented some very interesting and useful thought exercises.
Just as a caution, using the term "perpetual motion" in the title of a science fair project is sure to get a lot of skeptical responses. A perpetual motion device, as it is typically defined, violates the law of conservation of energy. It is not realistic to create such a device under any circumstances. The most you can hope for is to create a device that is very efficient, such that the amount of useful energy generated is very close to the amount of energy put into the system.
For the example you gave, capillary action would not add any energy to the system. The lift of water provided by capillary action would be offset by the energy required to extract the water from the capillary tube. In other words, the adhesive forces are active when you put the water in and when you take the water out. Consider a paper towel. The water goes in and it stays in unless you do something (provide energy) to get it out agan. Furthermore, capillary lift only works when there is a meniscus, or an interface between air, liquid, and a solid surface. Once you start pumping water out of the top of the tube, the meniscus is broken, and no net lift provided by the tube. Making matters worse for energy efficiency, there would be a some loss of energy to heat generated by friction between the water and the walls of the capillary tube. Because of the large surface area in capillary tubes, they are less efficient than large diameter tubes for transporting water. If you want to know more about these topics, there is a lot of research done on capillary forces to study unsaturated flow through porous media.
I like the creativity of your ideas. Keep them coming.