This is an Early Access game so there is still a lot of stuff to come.
I have been playing this game since iOS and Android and even got it on Desura. It's a fun game.
Unlike Minecraft, I like that this game has spawn blocks to collect, containing people, animals and such that you can use to populate whatever area you want them in. It's especially handy when you are getting attacked and you throw out a spawn block of a Warrior, Fighter, etc., and they come out to protect you and attack the enemy. If I'm fighting something powerful, I just spam out spawn blocks left and right having an army of warriors fighting for me. :P
The system in Block Story is similar to Minecraft and also has it's own unique features like learning magic spells and being able to create vehicles and a bunch of other cool things, but there are a lot of things I would like to see in Block Story, one would be to have multi-player. That would be badass! But I'm sure a game like this is not easy to make. Even Minecraft in all the years that it has been out is never complete. They always keep bringing out new updates.
If you are looking for a nice Minecraft alternative with more adventure elements and don't mind doing it solo, then give this game a try.