Click/Hold on the floating ball to get 30 resources to build your first tower!
Press on "Build Tower", building the tower doesn't consume any resources.

Ascend the tower!
Ascend the tower for the second time!
Now you should get a text saying you have unlocked the Forestry
Summon a druid and collect wood to make your first totem!
After buying the totem you should unlock the achievement!

You need to ascend the tower once more!
Now there is a new smaller tower where you can see your accumulated Prestige. To get your Blessings, click on Prestige!
Confirm and done!
This will end your run, but don't worry you can start again with some new boosts/blessings to make the progression faster and more efficient!

Ascend the tower until you unlock the "Building" Building
Choose to build the Dragon Nest!
Now you should have the achievement!

Unlock the Alchemy Lab and start collecting gold, you need to summon alchemists to start the process.

The holy grail needs 200 gold in total to buy 10 Dragonite and 10 Mana stones!
Once you have 10 of each you can afford the Holy Grail!
Now this achievement should be completed as well!

Be sure you have summoned at least one Dragon Keeper, otherwise the dragons levels wont start to go up. The Academy and Dragon Nest work hand in hand in advancing the tower.

To speed up the process to get this achievement feel free to unlock the Dragon Research
and upgrade the Dragon Alphabet, increase the experience gain by 100% increments
At some point as you continue playing your Dragon will hit the 50th level.
As it has hits the 50th level, you should have unlocked the achievement!

As the Cloud wall appears, it doesn't initially show what needs to be done to move forward to ascend the tower.
As you hover over it, the game will show you - that you need to break the cloud wall!
To break it, you need to build up some damage, the most effective way is to use the Sorcery building.
You should be seeing the wall health going down, if it's going too slow for your liking, either use your prestige or add onto your offence!
After beating the wall you should see the option to ascend it. If that's the case you have another achievement in the bag.

You have to buy the Embassy from the "building" building. Be sure to summon at least one diplomat to start producing what's necessary to make relations with neighbouring countries!
In the game you need to advance enough to collect 13 Prestige, which unlocks the blessing in the 4th row (the secret nation).
Now that the Blessing is unlocked (it's enabled automatically once you start a new run).
Personally to speed up the process I put all of my Spirits in the Embassy - as you get them all back when everything is bought! When you have bought all of the land on the map, you will get the achievement.

Next up after the Cloud wall is destroyed, the Solar wall is the next to conquer!
You need to build up your damage to be above 500 million, since that's the walls max healing capabilities.
Once the wall is destroyed you will get the achievement.

We have arrived at the final wall! Now we need to find a weakness in the wall.
Just in case - finding it's weakness is done through summoning the Temple spirits. I already have some unlocked!
You need a lifetime total of 42 Cosmic Dust to be able to destroy the Cosmic Wall! Just press the Fire Magic Beam button...
aaand gone!
After defeating the Cosmic Wall, you have almost completed the game!

In order to get more Cosmic Dust, re-enable the Cosmic wall and continue to damage it. There are also upgrades to make the process faster!
Now the goal to hit is 50 Cosmic Dust in a lifetime so 8 more dust units.
Once you have gathered all of the pieces. Click on the final Ascension button!
Done!
Congratulations, you have reached the end of the game!

On the left corner of the screen find the Cogwheel/Settings
Then click on Theme and choose Inverted as highlighted.
Now your tower should be looking this colour! You can change it back or to a different colour afterwards!
You should have your achievement now!