Actually physicists are already using these techniques you mentioned to accelerate electrons, protons, and even heavier nuclei's to speed close to the speed of light. However, as these charged particles gets close to the speed of light, they start to emit a certain type of radiation called "Synchrotron radiation". So the energy that they continuously try to apply to speeding up the particles gets losts in the radiation emissions.
Other methods used in speeding up particles in high energy accelerators usually result in the particles getting more and more massive, thus taking more and more energy to increase their velocity. And as the particles get more and more massive, they also start to slow down, so they never get to the speed of light.
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