If you literally want to create a game using pen and paper to play with a partner, here are common "Girlfriend Games":
The "Girlfriend Game" refers to several different creative works and interactive concepts. Depending on your intent, here are the most relevant ways to "create a paper" or engage with the topic. 1. The Short Story Collection by Nick Antosca
Classic, low-stakes entertainment for a date night. 4. Interactive Dating Simulation The Girlfriend Game
The title story is a psychological thriller about a couple who play a provocative "game" in bars where the woman pretends to be a stranger to lure in men, testing the limits of their relationship until it spirals out of control.
You can find the full text of the collection on platforms like Scribd for research. 2. Modern Romance Novels If you literally want to create a game
Each person writes a character’s name on a piece of paper and sticks it to the other's forehead. Use yes/no questions to guess your identity.
If your "paper" is an author study or book review, several contemporary authors have published novels with this title: The Short Story Collection by Nick Antosca Classic,
A novel that explores the "essence of love, friendship, and the challenges of modern relationships". 3. Interactive Games to Play on Paper