Reebok Flashfilm DV6970 Mens Blue Mesh Lace Up Athletic Cross Training - Ruze Shoes
I found the exact shoes Lee wears in the film! They are called "Reebok Hammer Hi Tops", but unfortunately these were made in the 80s so they are a vintage item. It's
Reebok Flash Film Sneakers Womens 6 Black Pink Running Athletic Walking Shoes | eBay