In the early 21st century, insectoid organisms are invading the galaxy, searching for new stars to house their young. Mankind's only defense lies with space cadets such as Takaya Noriko, daughter of a celebrated admiral killed in battle, and Amano Kazumi, the top of her class. With their skill and the power of the mecha known as GunBuster, the girls must help fight to protect the galaxy from total annihilation...
Nagamine is a young high school student who lives a fairly typical teenage life: hanging out with friends, attending class, and falling in love with a wonderful boy. But when she enlists in the galactic army, who is desperate for candidates to fight an alien war, she finds herself drifting farther away from her first love, Noboru. In the depths of space, where a simple email takes eight years to be delivered, will their love truly flourish, or simply fade away?
Another anime that will amaze you with the consequences of near lightspeed space travel is Voices of a Distant Star. This short OVA is condensed and focuses very strongly on the characters, while humanity is once more caught in a battle for survival.
While the atmosphere is different in both anime they both share the plot of a young girl being sent out in space, away from those she loves to fight an unknown alien force. Both stories deal with the insecurities and loneliness of the main character and the effect of being send out away from one's home has.
Voices of a Distant Star does take a bit more of a mature and romantic (and short!) spin on that setting, while Gunbuster gives you all the action and interaction, beyond just text messages being send back and forth through space as voices... do.
Top wo Narae and Hoshi no Koe are both very short anime, but are very worth watching. Despite their short running time, they tell big stories about love and the distance of space.
The main protagonists in both series have to deal with the concept of time dilation (but voices is a bit more realistic, as realistic a FTL drive can be), ride big Mechas in outer space. The enemy in both series is not well known to the officers in charge.
In the future, a devastating event known as Second Impact destroyed Tokyo as we know it, giving rise to the current day Tokyo III, a city under siege by mysterious lifeforms known only as Angels. Mankind's only defense are Evangelions, man-made machines piloted by Rei, Shinji, and Asuka, all who are the tender age of fourteen. The fate of Japan and the entire world now lie with these children, though they might not have the power to save the most important thing of all: each other.
Gunbuster and Evangelion are both anime featuring giant robots directed by Hideki Anno. The style and feel of both are very similar. The protagonists of both series deal with their issues in similar ways as well.
You can feel that both series have the same father. Some of the characters have similar issues (Noriko and Shinji both unsecure and lack of confidence in themselves, Jung Freud is like a prototype of Asuka Langley Soryu). It looks like Gunbuster layed the foundation to Neon Genesis Evangelion.
It is the year 2356 AD, 189 years after a shockwave from a distant supernova decimated the Earth. Since that fateful day, humanity has begun training for a final mission to protect the planet from the inevitable oncoming 2nd shockwave - a mission whose failure means the annihilation of mankind. For Katase and her friends, their training at the foundation Stellvia is just the beginning of an adventure that could lead to saving the world, or seeing its end...
More than the shared mecha theme, Stellvia and Gunbuster are similar in that both have a relatively humble female protagonist battling singlehandedly against forces of immense scope and importance; the notion that the character is being swept away by events that are beyond her control can be felt in both series. Also, the two anime share a kind of heartfelt sincerity that has become so rare in today's anime.
In both series you can see High Scholl girls piloting an unique big mecha in space, overcome there fear and save the day so the human kind can still exist in the future
Simon lives a boring life in the underground village of Jeeha, where his main job day in and day out is to dig tunnels. His close friend Kamina, however, longs to bust out of their oppressive existence and reach the surface world where open skies and adventure await! One day, during his usual digs, Simon discovers a robot with a big face buried amongst the rocks. No sooner has he shown Kamina his mysterious find when two beings from the surface crash land into Jeeha Village - one is a gun-toting woman calling herself Yoko and the other is a terrifying mecha piloted by a Beastman! Seeing their chance to escape village drudgery, Kamina rallies Simon and Yoko to defeat the invader using their new robot, Lagann. However, upon breaking out onto the surface world, Simon, Kamina, and Yoko encounter enemies more powerful than they could have envisioned. Their fight for adventure just turned into a war for the survival of the human race - will their lust for freedom hold out against such terrible odds?
Tengen Toppa Gurren Lagann and Gunbuster are basically one and the same, Gurren Lagann was made as a tribute to Gunbuster, as Gunbuster is the most recognizable hot-blooded mecha series. If you enjoyed the hot-blooded mecha pilots of either anime, you are bound to like the other.
These shows both build on overcoming the odds through friends, effort and spirit. They both have lots of screaming while giant robots save the day. The ends of both the show are bitter sweet yet highly satisfying. Remember that TTGL is an homage to all super robot before it.
TTGL: There won't be any anime that isn't greater (as in larger) like TTGL. Gunbuster comes close but yet it's thousands and millions and billions and trillions and [...] of kilometers away! Though it's close. Leaving size aside, these two anime are pretty similar: Characters and plot shows many similarites and not to mention it's freaking EPIC. And awesome gigantic battles!
Seriously: WATCH! NOW!
When the oppressive Kingdom suddenly conquers the planet Kibi, a group of space cadets are stranded aboard the spaceship Amaterasu. With no money or power, the crew is funded by the Space Channel TV station… for a price. For though they are given the money to buy the Amaterasu and battle the Kingdom, Shinon and the rest of the cadets must also become reality TV stars, allowing the network to dictate how they look, how they fight, and how they react when faced with the horrors of death. For the cadets aboard the Amaterasu, the battle has just begun...
Though Gunbuster is full of mecha and Starship Operators is set on a traditional spaceship, both become beautiful emotional tragedies that complement their plots nicely. This is a recommendation pair that I just think you'd like.
Both animes are about people fighting in spaceships and robots against their rivals in order to protect humanity. The feeling of losing loved ones and friends is always common in both animes.