This paper presents a generic review of various methods performed to acquire a low SAR for antennas in different applications. While the SAR is minimized, various parameters such as bandwidth, gain, directivity, efficiency, and antenna size are also taken into consideration. However, it is not possible to achieve desirable results for all these parameters together. Thus, the SAR limitations include an imbalance between one or more of these parameters depending on the technique which is used to reduce the SAR. Different techniques are used in SAR reduction like reflectors, designing a highly directive antenna, RF shielding using conductive and ferrite materials, RF shielding using Metamaterials such as AMC, DGS, SRR and EBG, or by using two or more methods simultaneously which is called hybrid method. Each of these types has its advantages and disadvantages that distinguish it from other types and determine the appropriate application for the use of this type. This paper highlights most common SAR reduction techniques, and investigates the differences between them to make it easy for the researcher to select the proper type for each application. As well as, it presents a survey of the researches development of each methods during the past years and introduces a comparison between these researches from several aspects. A survey is also conducted for some recent research that achieves the required SAR value within MIMO systems. MIMO systems represent a key technology for 5G communications. Finally, a proposal was made for using hybrid method with MIMO antenna system to achieve low SAR with a highly performance.