We describe two neonates with anatomically corrected malposition of the great arteries (ACM). A 1-day-old female newborn, who had the salient clinical findings of Goldenhar syndrome, behaved like a patient with the tetralogy of Fallot. The cardiac malformations included ACM, perimembranous inlet and outlet ventricular septal defect with tricuspid valve straddling, conoventricular septal malaligement, bilateral cori without aortic-mitral continuity, pulmonary stenosis at subvalvular, valvular, and supravalvular levels, and bicuspid semilunar valves. After the procedure of left Blalock-Taussig shunt at 3 months of age, cyanosis was alleviated. The other 1-month-old male newborn, who presented with prolonged feeding, tachypnea and tachycardia, likened to a patient with the hypoplastic left heart syndrome. He had a combination of ACM, mitral stenosis, hypoplastic left atrium and left ventricle, a restrictive patent foramen ovale, ventricular septal defect, subaortic conus without aortic-mitral continuity, subaortic stenosis, and a narrow ascending aortic root. Rashkind balloon atrioseptostomy was done with limited success. He survived a Norwood procedure. Transarterial entry of the catheter, which was inverted with the aid of balloon floating maneuver, to hook the retro-aortic pulmonary artery in ACM is recommended.