Just to give some examples off the top of my head:
Negotiation: DD negotiates fair space sharing on the climbing wall, she negotiates during activities at Girlguiding, she negotiates things like screen time with us at home, she negotiates anything and everything with her friends.
Managing conflict: DD learns conflict management with her very vocal Guide group, she observes it in public all the time, she sees it in books and TV and we discuss how she would approach it, and she manages conflict with friends.
Listening: she develops listening skills through attending online tutoring, through listening to her climbing coach to improve and avoid injury, through listening to the director and choreographer at her theatre group, through listening to us as her parents.
Communication: she develops this through theatre groups, group tutorials, playing with friends, home ed events, every day communication. Unlike many school children, she's good at talking to both children and adults respectfully.
Time management: she has to learn how to manage her time because it isn't being done for her by school bells etc. She has things she wants to do and things she needs to do, sometimes she'll do a combination (where the negotiation comes in) but she knows she has a time it needs to be done by and is learning how to manage her time to achieve her needs and her wants.
Those haven't been difficult to replicate outside of school; they've occurred naturally as part of how we home ed.