Considering Azys Lla is pretty much the Floating Continent from Final Fantasy VI, their creations are actually quite similar.

In Final Fantasy VI, we see the Floating Continent being raised by The Empire to harness the power of The Warring Triad.

In Final Fantasy XIV, we find the Floating Continent which had already been raised by the Allagan Empire to harness the power of The Warring Triad.

Also, The Garleans didn't create Magitek, they found it. Pretty much all of their advancements in technology has come from their excavation of the Allag Empire. They found Ultima Weapon, which was a weapon of Allag, and you can even find Proto-Ultima in Azys Lla. Which, if you didn't notice, bears a strikingly similar color scheme to that of Atma Weapon from Final Fantasy VI. Not to mention, The Warring Triad in Azys Lla is identical to the version you find in Final Fantasy VI.

I'm just waiting on Kefka's Tower to show up because that would be the most amazing raid ever.