I’ve been using https://gath.io to organize events. All you need is an email to create an event, and as far as I can tell, you can give it a fake email. It’s only used to send you the edit link (also displayed when you create the event). Same thing to RSVP, although it doesn’t share the link to remove yourself except by email, to my knowledge. They’ve just introduced groups, so setting up events for a group of friends is really easy. Bonus is that it’s open source and the person who maintains it has been really responsive to requests.