Actually that's a misconception. Mass does not increase as you approach the speed of light, energy does. In E=mc² mass is the resting mass.
For total energy you need to consider the Lorentz Factor ...giving you E = γmc²
Anyway, my point was that if something has even a little bit of mass, you will need a LOT of energy to power it...so far to acquire energy and convert it to motion we need objects with loads and loads of mass....