Grass biome
Four Pillars
Look at the symbols at the top of the pillars, each representing a number. You have to interact with them starting with numbers 1 through 4. In the case of the image above, column number one is included at the bottom right, number two is on the top left, number three is on the top right, and number four is on the bottom left.
Rainbow puzzle
This puzzle is solved by using small colored mushrooms around it. You must match the colors of the rainbow starting at the top. First comes the red mushroom, then orange, yellow, green, blue and purple.
Desert biome
Ancient galaxy
You need to move the electrical blocks next to the batteries to create the drawing. The specified template can be found right outside the Ancient Galaxy:
You need to include squares that are missing from the template.
Statue eye
To solve this puzzle, simply shoot an arrow in the eye with a bow.
Moon sword
To solve, you need a sword, for which you need to learn a combat skill and create it in the Forge. Once you have your sword, wait until evening and hit the Obelisk.
Flowers don't live in this cache
You will need a shovel and farming skill. When you have a shovel, read the sign, which will tell you everything there is to know. Dig a spot without flowers in the upper right corner (in the case of my screenshot) and dig up 4 tiles to open the chest.
Battery
You will need the Thunder Rod, which can be obtained by completing the Ancient Tomb dungeon.
Biome Cemetery
Mangala Skull
Light four braziers with a fire weapon such as a bow or pickaxe.
Bells
Read the sign that will show you the musical order. The bottom lines represent low notes, the top lines represent high notes, and the middle ones represent in between.
In my case, the lowest notes were on the left. The low note is equal to the bottom line, the middle note is equal to the middle line, and the high note is equal to the top. Follow the pattern and interact with the bells.
Pedestals
Insert a gem on each plinth with the matching color as shown in the picture above.
Skull Galaxy
Once you enter the building, you will have 4 pedestals, each with a sign that gives you hints on which items to place. This means that you will need 4 items:
1. Bottled water for the left plinth (you can craft bottles at the forge and then use them on the water to collect liquid).
2. Key for the upper plinth.
3. Paper for the right pedestal (can be made on the writing table).
4. Fish for the bottom.
Winter biome
Stone princess
For this puzzle, you will need the Ashtray, which can be found in the lands of the Fire biome. Interact with the stone princess and place the Ashtray to open the chest.
Frozen galaxy
For this puzzle, you need to translate the binary code into normal numbers. Place computers at 5, 3, 4, 2, 4.
Frozen chest
All you have to do is attack the chest with a fire weapon, be it a sword, bow, or pickaxe.
Fire biome
Code switches
To solve this puzzle, you need to make notes of every code that you find in all lands (codes are carved on the ground).
Look at the Battery puzzle (Desert biome) and you will see a screenshot with a puzzle and some numbers carved into the ground at the bottom right. There are several other Lands in the game with similar cut-out figures. The screenshot shows the numbers "3, 7, 2" and 9 empty spaces. This means that the switch in the upper right corner will be the third switch you need to click, the second below will be the seventh, and the last will be the second.
The numbers on the island where the switches are located show the order of the three switches below. The correct code is below:
Chests on fire
Use bottled water or ice weapons to suppress the fire.
Fiery galaxy
In this puzzle, you need to press switches that activate or deactivate adjacent switches. The goal is to ignite them all. The correct solution is below: