Set the same time as Gundam Seed destiny, Stargazer tells the story of Selen Mcgriff, a scientist and Sven Ca Bayan, a member of Earth Alliance's Phantom Pain. Of course, you don't need to watch Destiny to understand ths story.
I loved the story. I liked the characters especially Selene, Sven, and that guy who died fighting the Jinn (forgot his name...)
The mobile suit designs are good too. Stargazer looks great, plus there's Blu Duel and Verde Buster, throwbacks to Duel and Buster from the earlier Gundam SEED.
The battles were of course good, but since each ep is limited to 15 minutes, it feels like you want to see more.
That's my opinion on this series in fact. It's good, but there's way too much happening which results in everything getting condensed to fit the time limit. Because of that, it leaves you wanting more. If ever they make a longer version, I sure will be watching.