District Court Judgeships Act of 2021 This bill requires the appointment of additional U.S. district court judges and converts certain temporary district court judgeships into permanent judgeships. Specifically, the bill requires the appointment of 203 district court judges in specified judicial districts in Arkansas, Arizona, California, Colorado, Delaware, Florida, Georgia, Idaho, Illinois, Indiana, Louisiana, Maryland, Michigan, Minnesota, Missouri, North Carolina, Nebraska, Nevada, New Jersey, New Mexico, New York, Ohio, Oregon, Pennsylvania, South Carolina, Tennessee, Texas, Utah, Virginia, Washington, Wisconsin, and West Virginia. Additionally, the bill converts certain temporary district court judgeships to permanent judgeships in specified judicial districts in Alabama, Arizona, California, Florida, Kansas, Missouri, New Mexico, North Carolina, and Texas.