I almost feel bad for posting this, because I haven't waited very long, but I just got my VIN today!
Ordered 7/18, White/White SR+, no FSD, aero wheels.
Maybe this can give everyone some hope...my EDD has been jumping around like crazy since I ordered. One day a good range of dates, the next 8-14 weeks, then back to dates, then 8-14 weeks. When I talked to an advisor about the crazy dates, he just said that I shouldn't expect to see anything until September.
Today when I got on my account page, the description changed from just "Tesla Model 3" to "2021 Tesla Model 3", and when I clicked on it, it took me through the Tesla Vision prompt and then my VIN was there (I never received an email or text about Tesla Vision).
Talked with my delivery center today to reserve a 14-50 Nema so that it was there upon delivery, and they said the car should be in the 17th ( still a little wait, but at least I can stop refreshing my page constantly
)