Tom Brady's Successor? Tampa Bay Drafts Unheralded but Talented Kyle Trask On 5/1/21 at 2:20 AM EDT Tom Brady will retire as perhaps the greatest quarterback who ever played football. His story is remarkable as a low-round draft pick and backup who came in to replace an injured teammate. So it only makes sense that his potential successor is an overlooked player who sat behind a starter in high school and college for seven years. The Tampa Bay Buccaneers used the final pick of the second round on Friday night's NFL Draft to select quarterback Kyle Trask from the University of Florida. Trask has the all the attributes of a great NFL quarterback except one—he wasn't a sexy pick coming out of college.