If you're looking for anime similar to The Weight of Our Sky, you might like these titles.
Jirou Hirayamais a boy who lost his mother in the Great Kanto Earthquake, and who runs a soba stall with his father. He decides to join the crew of the famous ocean liner Hikawa Maru, and finds work cooking in the ship's galley. Through his eyes, the film explores the ship's 85-year history.
The story is about a 5-year-old girl who lived in just after World War II when people were struggle for living.
Giulia Bianchi, Maria, Enrico, Lucio and Angelo are a group of friends which live and study in the town of Seveso, not far from Milan. Their lives dramatically change on July 10, when during the party for Giulia's birthday one of the reactors of the close ICMESA chemical plant collapses, spreading into the air a massive, menacing cloud that falls over the surrounding area, covering everything under a white and irritating dust.