These ships are from "Robotech", specifically, the first series, "The Macross Saga". This was a great anime series that focused on characters and a storyline... rather than on selling toys (like Transformers, He-Man, G.I.Joe, etc).
 
If you're going to make a transforming SDF-1, it helps to have either the Robotech DVD's or a plastic model or the comic book series.
We purists could also get into an argument about what the "correct" version is: should it be the green "organic" ship that crash-landed on Earth in the first episode, should it be the version without the "battleship" and "aircraft carrier" arms (seen in the first few episodes) or should it be the version with the arms.

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