Now that the community events feature is live, here are a few improvements I recommend:
(1) The calendar should jump to the month of the first scheduled event (My first scheduled event isn't until next month, so when my community members open the events calendar, it looks blank because there are no events this month. Even though there's an "upcoming events" list on the sidebar, having the calendar jump forward to the month of the first upcoming event is a nice UX feature)
(2a) Clickable links in the event description
(2b) Ability to attach a form to an event registration
(3) A shareable link for scheduled events (I'd like to be able to share a direct link to a scheduled event)
(4) A way for community members to RSVP for free events (and a way to track + display RSVPs on the event)
(5) More notifications and reminders to people who have RSVPd to an event