There is a antural order of the GB´s, though players that already played a long twill be able to bypass that "standard play" and device another kind of strategy. But if you want a good experience with the game it is important to go for the the most essential GB´s – There a plenty of GB´s that are now considered a No Go – They simply take up a lot of space and becomes obsolete when your advance in the Tech Tree or even if you choose to stay long time in one Era.
You can visit this page to get an overview:
https://en.wiki.forgeofempires.com/index.php?title=Great_Buildings
Below is a list of GB´s that in general is considered to be usefull GB´s,
though not all are equally useful depending on your play style and also how far you have advanced in the game.
THE GOOD GB´s LIST
⁂ Zeus, a must have GB, it is small and give Attack bonus.
⁕ Lightouse of Alexandria and or ⁕ Royal Albert Hall for production boost.
You can have both or just one.
– Tower of Babel will work fine if staying loog time in lower Eras. Gives Goods and population – and have a small footprint.
– Hagia Sophia, A fine GB if you get it early on – Happiness and FPs, though is it not nessesarily an essential GB to have.
⁂ St. Marks is highly essential to remove any coin income problems.
⁂ Caste Del Monte. Attack Bonus and forge points.
⁂ Chaateau Frontenac, gives a higher payout from quests and wins - a most essential GB in the game now.
Ѭ Alcatraz - Free units and Happiness, a must have for any long term fighter.
– Cape Canavarel, Small footprint and gives Forge points.
+ Innovation Tower, for the city without houses – Gives population and Forge points.
Alternatively the Habitat can be used or in addition but it does not give forge points.
– Dynamic Tower, gives Goods when Aiding.
– Rain Forrest Project, If you want to gain more BP´s while AIDing.
⁂ The Arc. The most controversial GB in the Game to Date. Gives rewards back of what you invvest in other GBs (if you take wins spots).
Up to 90%!! at level 80. Thus also gives to the Guild.
Ѭ Atlantis Museum – This is for Plunder Play attacking your neigborhood and gain more from your plunders.
Ѭ Voyager v1. Also for boosting your Plundering.
Ѭ Terracotta Army, the latest GB that levels booth the Attack and Defense of your attacking units.
Ѭ The Kraken. Special first strike Attack and FP´s.
Ѭ Artic Orangery, Critical attack and Forge points – Its big but its good.
– The Blue Galaxy, Can double the output if your collections.
– Temple of Relics, Essential if your a playing GE. Give higher changes to win better rewards in GE.
– Observatory, A GB often requested to join more serious guilds, since it adds to the Guild.
– For your City Defense St. Basils Cathedral is good.
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Nearly all other other GB´s are not adviceable to build. Often their output turn obosolete wihthing a few Era´s or they are simply outperformed by new special buildings won in Quests and Events. Some of them are immensly big for what they give which is another reason not to build them.