In this talk, I will give a survey on Artin-Schelter (AS) Regular Algebras. AS Regular Algebras are often seen as good candidates for noncommutative polynomials. The importance of each condition present in the definition of an AS Regular Algebra will be explored. I will present some examples as well as mention how classification of these algebras has progressed. Their importance as noncommutative polynomials comes from realizing AS Regular Algebras as coordinate rings for “noncommutative spaces” in order to develop a theory of noncommutative algebraic geometry. I will present the work done for AS Regular Algebras of small dimension.