After playing loads of Terraria, I was looking for something similar in 3D.
Therefore I decided to try Planet Explorers, Fortress Craft Evolved, Space Engineers, and Starforge.
Unfortunately I haven't tried Minecraft.
Planet Explorers is already very content rich and focused very much on crafting.
There are tons of different materials, many recipies come in different assembly possibilities (meaning you can craft the same item with different base-items).
Crafting a base/colony and protecting it with automated systems is part of gameplay.
You can build vehicles, design own items (like vehicles, weapons, housing) for fast crafting in the gameworld in an easy-to-use editor.
There is currently a single-player-only story mode, which is fun to play and introduces you step by step into the different concepts of the game, while providing an interesting story.
Multiplayer allows you to define your world. You can choose between Game Modes "Build" and "Adventure" - giving you different access to ressources (Build - as much as you can carry), recipies, and quests. This is combined with 3 different Game Types "Cooperativ", "VS", and "Survival". The difference between these types are how Teams are created for PVP. While in Cooperative, there is only one team, Survival offers no teams - everybody for themself, VS allows you to choose up to 4 teams.
This is combined with two options: infinite ressources and play with/without monsters.
In adventure mode - npcs offer random quests but with no story on the bigger scale.
In multiplayer you are currently limited to 3 character slots.
The character customisation is not yet very broad at the moment - but seems to be work in progress.
Another cool feature are the different monsters - ranging from very little to really huge.
With this the game gets a little the feeling of Final Fantasy.