In Quantum Break, radio shows are used to inform the player of events taking place around Riverport. The commentary reflects the decisions you make throughout the game and adds a new level of realism to the experience. Depending on the choices you make in the game, there's two version of the radio show.
[Note: Some of the radio show titles reveal junction moment choices early on in the game.]
If you can't locate a specific radio show in your timeline, it means that the choices that you made during your current playthrough has been affected what collectibles you can see in the menu. They're not lost though, and you can see them again when you alter your junction choices.