The phrase "intriguing premise" means a fascinating or interesting idea or concept. It suggests that something appears to be thought-provoking or captivating, even if it is just an initial notion. Full definition
I'm pretty disappointed with the overall consensus of the film because it had a very intriguing premise for a horror film that you just don't see very often. (themissingreel.com)
But it is a stylish, intense horror film that lives up to its very intriguing premise. (mynorthwest.com)
That game was a unique first person puzzle solving stealth horror adventure, a first of its kind with a genuinely intriguing premise to begin with. (frictionalgames.blogspot.ru)