No Man's Sky is, on the surface, a great game. A procedurally-generated galaxy effectively gives you an infinite number of star systems to explore. There are lots of activities to undertake, some of them are essential to the storyline, others are optional and purely for players to gain wealth and/or territory and/or bragging rights. There are many ways to play the game, and players can adjust various difficulty levels so they can play the game either as a survival challenge, or simply as a relaxed exploration/base-building game, or somewhere in-between.
The problem is that the networking backbone of the game has problems. It's clear that Hello Games and/or Sony are trying to run the game as cheaply as possible, and they simply don't give players a reliable network infrastructure on which to play the game. Every time an update patch is issued, every time a new community expedition is released, every time there's an influx of new players, there are massive problems with network connections and reliability. Someone somewhere is penny-pinching, and prioritising profit over good customer service.
For that reason I can only give the game two stars.