For Princess you just have to spend enough Poxflowers at her shop then talk to her again. You can access the Courtesan's scenes by giving her the item 'King's Remains.'
Yida's second scene is accessed by speaking to her in her room. But if you've progressed the story past a certain point, her scenes won't be available anymore. (If you've met Headless Horsewoman past Flooded Colony)