We all know and love interactive fiction, but there are other ways to create a compelling, interactive, narrative-driven story without hyperlinks or a parser.
Blindscape is an experimental narrative featuring a blind narrator in a dystopic world.
Interact with the environment through sound and touch, and escape from the life you lead. Although the game is relatively short it is an impactful tale with some great audio (and apparently stunning 3D graphics as well) that is well worth a look and a listen.
Available on Google Play or the App Store.