It currently has a Metacritic average of 75-78%
Here are some of the bigger review outlets that have posted their reviews.
Game Informer - 8
"When taken as its own journey (and not in comparison to Shepards saga), Mass Effect: "Andromeda is fun, and the important parts work. The narrative isnt astounding, but keeps you invested and drives you forward. The combat is entertaining whether you're in single-player or multiplayer. The crew isn't my favorite, but I like them and they have some good moments. Even with its other problems, these are the largest forces shaping your experience with Mass Effect: Andromeda, and they make it worth playing. At the same time, I was often left looking through a haze of inconveniences and dreaming about the game it could have been."
IGN - 7.7
"Mass Effect: Andromeda is an expansive action role-playing game with a few great moments that recapture the high points of the landmark trilogy that came before it, and energetic combat and fantastic sound effects create a potent sci-fi atmosphere. But without consistently strong writing or a breakout star in its cast to carry it through the long hours and empty spaces, disappointments like a lack of new races, no companion customization, and major performance problems and bugs take their toll."
GameSpot - 6
"The game can't escape its shortcomings, but patient explorers can still find a few stars shining in the darkness."
PC Games - 7.8
"It is a really bumpy start for a new era in the Mass Effect series. Almost as if the developers wanted to create something reminiscent of the tough challenges the milky way species face in their new home. But in the end there is just the perception, that bigger is not always better."
Polygon - 7.5
"Im conflicted about Mass Effect: Andromeda. Theres a lot of roughness throughout the game, and the technical issues, while not game-breaking, are often incredibly distracting...But its my time with the cast that Im still thinking about, and the mysteries about the world that havent been answered that make me feel like Im waiting once again for a new Mass Effect game. And if Im judging a game by where it leaves me, Andromeda succeeds, even if it stumbled getting there."
Destructoid - 6.5
"Mass Effect: Andromeda spends a lot of time not really feeling like a Mass Effect game. If anything, it feels like a spin-off -- the sort of thing created by another studio that's unsure about what direction to take it. Like in the game itself, there are problems with the atmosphere."