What low-cost community events work best for engagement and logistics?

[AvaJ]

I'm on the planning committee for our neighborhood association, and we're trying to organize a series of community events this summer to boost engagement after a few quiet years. We have a modest budget and want to appeal to a diverse mix of families, seniors, and young professionals. For others who have successfully run local events, what types of gatherings have you found most effective for building connections? I'm particularly interested in low-cost ideas like block parties, movie nights in the park, or skill-sharing workshops, and how you handle logistics like permits, insurance, and volunteer coordination. How do you effectively promote these events to ensure good turnout without relying solely on social media algorithms?