One Piece.
Shingeki no Kyojin, aka Attack on Titan. Plenty of political intrigue, an interesting premise about a society predicated on eternal peace but plagued by a cycle of death, and a critical or refreshing perspective on such issues as gender and the military, the perceived dilemma between activism and patriotism in regards to loyalty to state, 'normalcy' versus 'eccentricity' in human behavior, etc.
http://mangasee.me/manga/?series=ShingekiNoKyojin
Kingdom, a period piece based on the Warring States period of China, and focuses on the rise of the Qin state and its imperial designs. Despite the historical backdrop, this is clearly a fantasy, not to its detriment: characters take heavy injuries but the risk of death actually exists, even for the most God-like among them. Battle scenes last several chapters and go into great detail about tactics and strategy. There is plenty of character development for protagonist and antagonist alike, and there is an ensemble cast for both. Relatedly, the author even casts a critical eye on the Qin state, as to whether it is really just, and like Attack on Titan features women playing a prominent role in the military and state.
http://mangasee.me/manga/?series=Kingdom
Shokugeki no Soma. A comic about students training to become master chefs. Filled with silliness, exaggeration, some fan service (but for both sexes), and plenty of epicness for something that takes place in the kitchen. Cooking battles last numerous chapters and go into great detail about food preparation in a high-octane style much like
Iron Chef and
Beat Bobby Flay.
http://mangasee.me/manga/?series=ShokugekiNoSoma
