Burr was ranked #44 on "TV Guide"s 50 Greatest TV Stars of All Time in 1996. Completed in 1996, a circular garden at the entrance to the Bailey-Matthews National Shell Museum in Sanibel, Florida, honors Burr for his role in establishing the museum. Burr was a trustee and an early supporter who chaired the museum's first capital campaign and made direct contributions from his collection. A display about Burr as an actor, benefactor and collector opened in the museum's Great Hall of Shells in 2012.