Endovascular techniques have revolutionized the treatment of cerebrovascular disease in the human brain. In this review, we examine the current state of this technology, which consists of multiple concentric catheters that are manually navigated from the lumen of peripheral arterial access within the patient's arm or leg up into the brain using fluoroscopic image guidance. There is tremendous potential for the fields of robotics, materials science, and computer science to redefine the current techniques and ultimately improve the safety and efficacy of treatments. Expected final online publication date for the Annual Review of Control, Robotics, and Autonomous Systems, Volume 7 is May 2024. Please see http://www.annualreviews.org/page/journal/pubdates for revised estimates.