If you specifically want games that are stories, you can use emulators like BlueStacks or LDPlayer to run these lightweight interactive titles:
For the absolute lightest downloads (some even under 10MB), you can check these specialized platforms: skachat samuiu legkuiu igru na pk
Provides a rotation of free games, including many "indie" story gems that don't require high-end hardware. If you specifically want games that are stories,
My Story: Интерактивные игры | Скачайте и играйте на ПК and political intrigue.
You play as an immigration inspector at a border checkpoint. It's a gripping story about morality, family survival, and political intrigue.