The aesthetic and land-use constraints have led to a sharp rise in the trend of asymmetrical building construction. The asymmetry arises due to unequal mass and stiffness distribution in the plan of the structure. The torsional vibration of such structures particularly of low-rise range even more aggravated due to continuous loss of strength and stiffness of Reinforced concrete structural members during inelastic excursion. In modern cities of developing countries like us high-rise structures are made with different shapes due to advantageous use the air flow to enhance wind circulations as well as to reduce wind loading on structures during severe storms. Such structures which are predominantly designed for aerodynamic purpose may have inherent plan eccentricity or there may be plan eccentricity generated very easily due to some functional requirements. Hence, the study is proposed to investigate seismic torsional response of such aerodynamically designed low-rise concrete structures having plan eccentricities. This study also compares the seismic responses of three distinct aerodynamically modified shapes namely, Chamfered, Rounded, and Recessed structures with their regular counterpart under dynamic time history analysis. It can be concluded from the responses that the aerodynamic shapes share some advantage towards resisting the earthquake vulnerability too.