This is a great idea and just what I wanted! I have a question about which system is better for a story-driven game for beginners. Some context: I like RPG, but I have played exactly 4 times in the last 20 years. Last time I played it was D&D and my experience was it was more of a tactical game focused on combats than characters and story. It was about the squared map, knowing all the rules of your weapons and spells…
But in a pick-up game with strangers, and with the current "mainstream" d&d - you probably have to be lucky to enter a campaignwwhere you develop a character as rich as Elminister or the Lord of Waterdeep.
For systems that encourage story-telling - I'd look to Cypher as mentioned by others - and of course white wolf's Storyteller system. It can be used for almost anything - but Hunter and Mage are probably most beginner friendly for players. Beware that mage can be quite mind bending.
A wiki from our current mage campaign: https://radio-noir.fandom.com/wiki/Radio_Noir_Wiki
Old blog from a previous storyteller/mage inspired original setting:
http://thebookofworlds.blogspot.com/p/world-of-argos.html
Ed: I've also heard good things about:
https://en.m.wikipedia.org/wiki/Castle_Falkenstein_(role-pla...
And for a fun ruleset (but slightly dated setting) check out Underground! https://en.m.wikipedia.org/wiki/Underground_(role-playing_ga...