Anomalies of the aortic root vessels may present in adults and are common incidental findings during standard vascular imaging. Knowledge of their presentation and management is important for surgeons dealing with vascular pathology within these anomalous vessels. A comprehensive literature search was conducted and a review of the current opinion performed on the embryology, clinical features, and surgical treatment of aortic root vessel anomalies, with particular emphasis on their management in adults. A classification system for aortic arch anomalies based on arch configuration is presented: (1) double aortic arch, (2) right aortic arch, (3) left aortic arch with abnormal branching, and (4) interrupted aortic arch. Anomalies of the aortic root vessels may be classified based on their presence or absence, their anomalous size or course, or their atypical origin, bifurcation, or subsequent branching pattern. A symptomatic aberrant right subclavian artery may be encountered by vascular surgeons, and a right supraclavicular approach would appear the most appropriate method of repair. Knowledge of aortic arch and root vessel anomalies is important for any clinician dealing with cardiothoracic, head and neck, or intracranial pathology. Vascular surgeons may encounter these anomalies during routine practice and may need to deal with their clinical sequelae.