If you're looking for manga similar to Madouki to Armunaire (Light Novel), you might like these titles.
It is Universal Century 0088. Haman Khan has claimed Axis as Neo-Zeon and rages war on both the Federation and the remaining Anti-Earth Union Group (AEUG), in order to resurrect the Zabi Family Dynasty. Meanwhile, fourteen-year-old junk collector Judau Ashta encounters the ship Argama, and with the help of his friends he plans to steal their Gundams. However, because of Judau's skills and unique Newtype abilities, he is instead entrusted with the AEUG’s newest weapon: the Double Zeta Gundam. The clash of the Newtypes continues as together Judau and his friends form the first Gundam Team.
The series takes place in the year 2400, where the world is controlled by the "Solar System Alliance." The reason the Alliance was able to take control is because they wield mobile weapons. Those humanoid weapons use "Cyclonics" electric chips that convert the superpowers and wisdom bequeathed to mankind into interference power. These humanoid weapons which amplify their pilot's psychic powers are called "Titanic DOWLs," or just "DOWLs" (Defender Operated by Wired Linkage). DOWLs do not lose to other weapons, and are part of the Solar System Alliance's unit, "Sophia," who keep the world under the Alliance's thumb. However, this will soon change when two DOWL Masters—Aoi Saotome and Reine Ward Takajou—have a fateful meeting at a high school in an aerial city.
Third class citizen Hibiki from the male-only planet of Taraak sneaks aboard the extra large battleship Ikazuchi as a result of unusual circumstances. However, it comes under attack from the Magno’s Family pirates from the female-only planet of Majere! It is Hibiki’s first encounter with those who are said to ‘eat men’s innards’ but..
The year is UC 0123, and humanity is spread out across several colonies and the earth. An age of peace is shattered as the Crossbone Vanguard stage an assault on the station Frontier IV - their goal is to create a new age of aristocracy called Cosmo Babylonia; their method is destroying the federation and part of the populace. Seabrook Arno, a resident of Frontier IV, finds himself forced into the resistance in order to protect his friends. Piloting the new Gundam F91 model, Seabrook must now fight against the Crossbone Vanguard, as well as his childhood friend Cecily Fairchild.
In the future, an organization called the GGP has taken control of the world. Rin Ogata was a promising up-and-coming ballet dancer, but suffered a serious injury while dancing and decided to quit. Years later in college, she comes across a club building and soon finds herself intrigued by a transforming motorcycle-like robotic vehicle called a "Rideback". She soon finds that her unique ballet skills with balance and finesse make her a born natural on a Rideback. However, those same skills also get her into serious trouble with the government.