If you're looking for anime similar to Legend of the Galactic Heroes Gaiden, you might like these titles.
The foundation of alchemy is based on the law of equivalent exchange; you cannot produce something from nothing. As such, alchemy is bound by one taboo - human transmutation. Four years ago two young brothers, Edward and Alphonse Elric, broke this taboo when they tried to resurrect their dead mother. During the process Al's body disintegrated and Ed lost his leg. In a desperate attempt to prevent his brother from disappearing completely, Ed sacrificed one of his arms so he could affix Al's soul to a suit of armor. When his missing limbs are replaced by auto mail parts, Ed bears the name of the Fullmetal Alchemist - the youngest ever State Alchemist and dog of the military. Now, alongside his brother, Ed uses his status within the military to attempt to find any way that he can return their bodies back to their original state.
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The main characters have a lot in common. Both anime presents interesting questions about human nature, war, moral issues, science, religion. I highly recommend both of them. Though if you want to watch LoGH I recommend you to start with the main series. You may also watch FMA (2003 series).
The Union has retreated and thus the Abh have regained control of the Hyde System. As Earl of the Hyde System, this means Jinto has his work cut out for him! Together with Lafiel he takes a temporary leave from the military and heads homeward to do his duties as an Earl; meanwhile, the Empire’s new type of attack ship is moving to the Hyde System for a test run. Are the citizens of Martine, Jinto’s home planet, still holding onto their rebellious ways? If so, Jinto may end up having to exercise more diplomacy than he originally thought necessary...
Three years have passed since the Four Nations Alliance declared war on the Abh Empire. With both sides decimated by the first encounter, the lull in violence has provided enough time to build fleets massive enough to span the entire galaxy. Just before the Abh complete preparations for their conquest, however, the Alliance launches a pre-emptive strike, forcing them to take the defensive. Now in command of her own ship, Lafiel is assigned to the fleet as a destroyer captain, and eagerly awaits the opportunity to prove herself as a true Abriel. But when a new class of enemy ship appears on the front lines, the tides quickly turn for the worse. With her vessel now little more than cannon fodder, her dreams are turned into a desperate race for survival - can she and her crew survive amidst a battlefield of endless death and destruction?
Thousands of years later, humanity has advanced into space. Here it has divided into two countries with two different forms of government: the autocracy of the Galactic Empire, and the democracy of the Free Planets Alliance. These two countries have been at war for 150 years. Near the end of the 8th age of the space calendar, the appearance of two geniuses will change history forever. The unstoppable genius, Reinhard von Lohengramm, and the unbeatable magician, Yang Wen-li. As heads of the Imperial and Alliance armies respectively, the two will face each other in battle over and over again.
Three years of uneasy have passed since the Four Nations Alliance declared war on the Abh Empire. With both sides decimated by the first encounter, the lull in violence has provided enough time to build fleets massive enough to span the entire galaxy. Just before the Abh complete preparations for their conquest, however, the Alliance launches a pre-emptive strike, forcing them to take the defensive. Now in command of her own ship, Lafiel is assigned to the fleet as a destroyer captain, and eagerly awaits the opportunity to prove herself as a true Abriel. But when a new class of enemy ship appears on the front lines, the tides quickly turn for the worse. With her vessel now little more than cannon fodder, her dreams are turned into a desperate race for survival - can she and her crew survive amidst a battlefield of endless death and destruction?
Humanity has stretched its reach into space and has settled onto a number of planets. For the past several hundred years, though, most of man’s territory has been politically and militarily dominated by the Tytania clan. However, their grip of power begins to shake when an admiral from Euria, Fan Hulic, preposterously manages to win a battle against an armada commanded by a Tytanian duke. Now wanted by Tytania, Fan Hulic flees from one planet to another. His travels will lead him to many places and many people, all of whom finally have hope that the hated Tytania can finally be defeated.