How can I see all events in all of my projects?

Start by clicking the  Activity  link, up at the top of your page, then selecting the Upcoming Dates from the Choose a report drop-down menu :

Here's where you'll see what's going on tomorrow, next week, to infinity and beyond. (Mostly.) You'll see the usual grid calendar and then the agenda-style list of your scheduled events and dated to-dos.

It's organized by date and you can see which project the event is a part of. 

Maybe best yet, you can subscribe to this single Upcoming Dates schedule instead of every project ever. 🙌 You can do this in the same way you would for an individual project:

And in case you're curious here's more on how to use the schedule with your external calendar.