Transcatheter Aortic Valve Replacement (TAVR) marks a significant advancement in treating aortic stenosis (AS), especially for patients with high surgical risks. This concise review outlines TAVR's development, its broader application to include lower-risk patients, and innovations in the device and procedural technology. Clinical trials, notably the PARTNER series, affirm TAVR's efficacy, showing it matches or surpasses surgical aortic valve replacement (SAVR) in mortality reduction, hemodynamic benefits, and symptom alleviation, including heart failure. However, TAVR entails complications such as paravalvular leakage (PVL), conduction disorders, and increased cerebrovascular event risks. We evaluate these issues, their prevalence, causative factors, and clinical consequences, emphasizing improvements in valve design and technique that have significantly lowered PVL rates. The role of aortic valve anatomy and calcification in PVL and conduction issues is analyzed, underlining the necessity for meticulous patient selection and procedural planning. Further, the review delves into cerebrovascular event risks, their origins, and preventative strategies, including cerebral protection devices and the judicious use of anticoagulant and antiplatelet therapies. TAVR presents a less invasive, promising alternative to SAVR, but requires careful complication management to optimize patient results. Ongoing innovation and research are vital for advancing TAVR's techniques, improving valve designs, and extending its reach, thereby enhancing AS patients' quality of life.