Quantum electrodynamics is a well-accepted theory. But, we believe it useful to look at formalisms which provide alternative ways to describe light, because the development of quantum field theories based primarily on the gauge principle have, in recent years, met with considerable difficulties. There are numerous generalized theories and, mainly, they are characterized by introducing some additional parameters and/or longitudinal modes of electromagnetism. The Majorana?Oppenheimer form of electrodynamics, the Sachs'' theory of Elementary Matter, the analysis of the action-at-a-distance concept, presented recently by Chubykalo and Smirnov-Rueda, and the analysis of the claimed longitudinality of the anti?symmetric tensor field after quantization are examined in this article. We list also recent advances in the Weinberg 2(2J+1) formalism (which is built on first principles) and in the Majorana theory for neutral particles. They can serve as starting points for constructing the quantum theory of light.