Is there a way to present events like this in a table?

Create insights for all events for "total events", "unique users", "dau", etc. And then breakdown the insight by event name, and present it as a table. Only part I'm not 100% sure of is your "new users", presumably you could accomplish this with a cohort measurement of "new" (for however you define that) and apply that filter to one one metric in your insight.