E3 2023 would have run from June 11 - 16 2023, with those dates including several different segments of activities.
Originally, Tuesday, June 13 to Thursday, June 15 was set to be E3 Business Days, reserved for industry professionals and the media. And Thursday, June 15 and Friday, June 16 would have been E3 Gamer Days, where the event would have be open to the public. Sadly, with the E3 2023 cancellation, this set of events will no longer continue.
However, we are still seeing developers and publishers holding events during this specific time window, with the E3 2023 schedule starting on June 8 and currently running through until June 13. You can see what's been confirmed so far below.