That's Why I Do That
Asami Kubo, the girl who was pushed down the escalator, is questioned by a woman named Natsume, who then fires a red ball at her head, causing her to remember nothing about the incident. Kamba hears that his uncle is planning to sell their house and goes to see a strange person to obtain the money to buy it. Meanwhile, Shōma and Himari find Ringo, who had a bad day, and invite her back to their place. There, Shōma asks Ringo about her diary, which she claims is a Diary of Fate which describes her future. Both she and Shōma are summoned by the Penguin Hat, who orders Shōma to retrieve the diary, but Ringo breaks free and throws away the hat which lands on a truck, causing Himari to fall dead again. As Kamba goes to retrieve the hat, he recalls what happened 9 years ago when he went with his father into a typhoon when Himari was ill with a fever. After a tough struggle, Kamba manages to retrieve the hat and return it to Himari.
Aired 05/08/2011EP 5 - That's Why I Do That

Penguindrum
Once you make a decision, does the universe conspire to make it happen? Is destiny a matter of chance, a matter of choice or the complex outcome of thousands of warring strands of fate? All twins Kanba and Shoma know is that when their terminally ill sister Himari collapses at the aquarium, her death is somehow temporarily reversed by the penguin hat that she had asked for. It's a provisional resurrection, however, and it comes at a price: to keep Himari alive they need to find the mysterious Penguin Drum. In order to do that, they must first find the links to a complex interlocking chain of riddles that has wrapped around their entire existence, and unravel the knots that tie them to mystifying diary and a baffling string of strangers and semi-acquaintances who all have their own secrets, agendas and "survival strategies." And in order for Himari to live, someone else's chosen destiny will have to change. It's a story of love, fate, life, death... and Penguins!
(Source: Sentai Filmworks)