If you're wanting to jump in and try Mass Effect: Andromeda before anyone else, you have that opportunity. Mass Effect producer sent out a tweet linking to their "beacon program" which will give players access to multiplayer beta of the game...

I'm gonna warn you right now, the application process is intense. You need to provide your personal info, your gaming habits, your experience with Bioware games, and after 11 pages there's an essay portion! To be quite frank it's a bit much for a beta. I don't know why they couldn't have done the "give us your email and maybe you'll get in" deal. 

The more I think about it, it's kind of weird they're cherry picking ideal candidates for the beta. On one hand, it helps to get constructive feedback from a passionate fan base you know loves the game, but your also leaving yourself open to a passionate fan base who may overlook glaring issues with your experience that others definitely won't. My opinion aside, it's still a thing and if you're up to the 11 page application, you can maybe be selected for it!