Electric vehicles (EVs) are promising solutions to the problems faced by combustion engine-propelled automobiles. The futuristic transportation system would be majorly catered by battery EVs, hybrid EVs, and fuel cell EVs with a different combination of energy sources that could successfully meet the requirements of different categories of vehicle propulsion systems. However, to execute such vehicle systems with a high level of safety and comfort for the transportation of people and products, a few difficulties must be resolved. EVs of today face problems such as noise-vibration-harshness, energy storage difficulties, torque fluctuation/ripple in the power train, inadequate range, and some others. The present review paper comprehends major noise and vibration issues existing in EVs and attempts made by the researchers to find solutions to such problems. The major problem faced by the vehicle as well as by the passengers is vibration and discomfort. These vibrations if continued for a longer period might cause severe damages to the vehicle structure as well as to the passenger’s body. These issues must be thoroughly addressed by researchers to increase ride comfort, which is a crucial requirement of the hour as well.