I'm defining "modern" Shojo and Josei manga to mean anything that began being published in 2013 or later. Obviously personal taste plays a role in whether you'll like something. I'm also trying to focus on Shojo and Josei manga licensed in English officially, so some excellent stories will sadly be missing from this list (they should probably get their own at some point).

Part 1: https://myanimelist.net/stacks/57752

Part 2: https://myanimelist.net/stacks/57753