It is the year 2023, 30 years since the time of the Silent Crisis that brought the world to the brink of destruction. In the present, other-dimensional beings known as the Lucifer Hawk are running rampant, and threaten to take over the human world. The only hope for mankind is the AMP -- the Attacked Mystification Police -- a group of women with paranormal abilities who are dedicated to stopping the Hawk at all costs. With the frequency of attacks increasing and the bodies piling up, it's up to Katsumi Liqeuer and the rest of the gang to stop the invading threat... before it's too late.
In the early 21st century, the emergence of an incurable condition known as B-cell growth led some of the affected to become "Sleepers" - people put under stasis until a cure could be found. Yuji Kaido is one such Sleeper who awakens, several decades later, to a horrifying new reality. Giant bugs known as Blue have invaded the Earth, eating everything - and everyone - in sight. Now, all Yuji can do is escape from the city with the ones who saved him from his inevitable death, and make their way towards Second Earth: mankind's new home in space.
Silent Möbius and Blue Gender are series that seem very different but have some of the same basic elements. They both deal with aliens and a possible threat to the whole mankind. There is lots of character development and both offer good sci-fi action/drama to the viewer.
STN is a secret organization charged with capturing witches of all ages who misuse their inate ability of the Craft. Its newest recruit is a young girl named Robin, who wields the same power that she is helping to control. While skillful at their ability to detain quickly, the number of witches keeps seeming to increase, and the misuse of power grows stronger, casting a shadow of doubt as to what is really going on. For STN, there is much work ahead, and for Robin, her troubles are just beginning...
These two anime are similar to each other. You have the chosen few group to combat the paranormal and both groups take their work seriously to protect man kind. If you watched one of these you will notice similarites with the other.
In the present, Japan is under assault by murderous creatures known as Aragami whose origin and purpose remain unknown. The fate of Japan and the world itself lies with one young woman named Momiji who bears the burden of the Kushinada -- the one who must be sacrificed to silence the Aragami forever. With the help of Mamoru Kusanagi (a human and Aragami hybrid), and an agency filled with firepower-toting bodyguards, Momiji must use her Aragami-sensing powers to help save mankind; but will she ultimately have to lose her own life to save the lives of so many others?
A devastating earthquake strikes Tokyo, leaving the city in ruins. Man's only hope is to use boomers, an artificial humanoid form. Everything seems perfect until some of the boomers go crazy and start killing people. The only hope of stopping them is the Knight Sabers, a group of 4 female heroes in form-fitting power suits, with which they can perform amazing feats of strength and agility.
Both anime is set in the not so distant future in a technologically advanced city which having recovered from a post-apocalyptic event are under constant attack from invaders as in Silent Mobius and androids in Bubblegum Crisis. Both feature an all female combat/police team trying to protect this city from that threat and effect it has on them and the onces they care about. Theres also similarities such as in some of the characters, sound/music, retro animation style and more. If you like one I'm pretty sure you will like the other.
Japan's hottest service is Nicaea, a website that sends your friends a picture of your death before it happens. Daichi and Hibiki are two teens who didn't expect Nicaea to actually be real – that is, until the boys receive an email about their demise, and die shortly after. On the brink of going to the beyond they're given a choice: expire, or have a second chance at life. And so the two awaken to discover the city's been destroyed and they now have the ability to summon demons – an ability that a secretive branch of the government insists they use to help combat an imminent threat. For unless summoners like the teens put a stop to otherworldly invaders destroying the planet, the world will soon disappear...
Mobius and Devil Survivor definitely have a similar feel and (to some extent) plot. Both take place in a dark environment where people are having to fight mysterious monster/demon invaders. It's hard to explain why I think these two are such good recommendations for each other, they just are. If you can deal with the animation quality difference given their ages, try it on for size.