Both take place after some point in the series with advanced civilization and military against the invasion from sentient beings that are impossible to defeat. The protagonists must face struggles mentally and physically throughout the plot and serves as the key to defeating the enemy. They both end the series with their respective conclusions.
Both satisfy the fans and are made by Gainax.
End of Evangelion continues where the TV series left off whereas The Lights in the Sky are Stars is a recap but with added scenes.
They both end the production of the series in a high note of their recent era after their air.
Both are summary movies from your respective TV series (Gurren Lagann and Macross). Both Add new scenes or new animation, improving the show. Finally, both are highly recommended to watch, mainly if you like mechas and huge battles.