Realm of Shadows, Episode 1 of Batman: The Telltale Series, is releasing tomorrow for PlayStation 4, Xbox One, and PC/Mac, and Exophase has revealed that the PS4 version includes a Platinum Trophy.
[Spoilers ahead for number of chapters in each episode & Trophy names]
As the Trophy list shows, there are six chapters in each of the five episodes. The Trophy descriptions themselves don’t reveal anything about the story of Batman, though the Trophy titles may contain some spoilers:

Batman: The Telltale Series Trophy List

I’m Batman (Platinum) – Complete Batman
Welcome to Gotham (Bronze) – Completed Chapter 1 of Episode 1
The One that Got Away (Bronze) – Completed Chapter 2 of Episode 1
Meet the Press (Bronze) – Completed Chapter 3 of Episode 1 World’s Greatest Detective (Silver) – Completed Chapter 4 of Episode 1
Room with a View (Silver) – Completed Chapter 5 of Episode 1
Family Secrets (Gold) – Completed Chapter 6 of Episode 1
Broken Memories (Bronze) – Completed Chapter 1 of Episode 2
The Children (Bronze) – Completed Chapter 2 of Episode 2
A Big Fan (Bronze) – Completed Chapter 3 of Episode 2
Two of a Kind (Silver) – Completed Chapter 4 of Episode 2
The Incumbent (Silver) – Completed Chapter 5 of Episode 2
Narrow Margins (Gold) – Completed Chapter 6 of Episode 2
State of the Union (Bronze) – Completed Chapter 1 of Episode 3
A Man Unhinged (Bronze) – Compl...