FREE Tea for National Iced Tea Day @ Starbucks by theinternettaughtme · Published June 9, 2015 · Updated November 27, 2021 Starbucks Teavana is offering a free 16 oz. Iced Pineapple Berry Blue tea in honor of National Iced Tea Day on June 10th, 2015. No purchase is required. Details here. Share your comments below!