 If you liked
Ginga Eiyuu Densetsu
|
 ...then you might like
Macross
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No, LOGH isn't really similar to Macross. But it is to Robotech, wich unfortunately is not on the list.
Both series are long space epics with lots of characters and untimely deaths. Both have evolving settings and huge end-season twists, where important events have serious consequences that will affect the rest of the series. Both have a narrator who explains the plot like it was a documentary about historical facts. Both have soldiers dying by the thousands because of incompetent leaders. Both have political intrigue and an interesting and politically incorrect take on fascism. Both are Gundam successors about the horrors of war.