Based on what you listed, in no particular order.
Soul Eater - Somewhat similar to FMA, but more light hearted... usually. Students attending Death Meister Academy to hunt down sinners and witches.
Blue Exorcist - Hot show from last season in Japan. Catch it on Hulu and Crunchyroll. The son of Satan enters an academy for exorcists with the intent of kicking his father's ass.
Witch Hunter Robin - Secret police unit hunting witches (aka psychics).
AD Police Files: OVA prequel to the original Bubble Gum Crisis. Some nudity and sexualism, but it's not porn. The later TV show (AD Police) is a different continuity, although it's more similar to the Bubblegum Crisis: 2040 TV show. Strong cyberpunk show.
Dai-Guard: Office workers saving the world! Super robot show, office workers, giant monsters.
Dual: Parallel Trouble: Part of the Tenchi Myou multiverse, although that's only apparent in one of the Tenchi series. Geeky kid gets sent to a parallel universe where he gets dragged into a war with giant robots and alien technology. Similar Neon Genesis Evangellion, but without the squick and with likable characters.
Sorcerous Stabber Orphen: Show following the adventures of a rouge sorcerer, his apprentice, and a girl. Also look for the second series, Sorcerous Stabber Orphen Revenge.
Super Dimensional Fortress Macross: An old series that holds up well as long as you remember that the animation is old and ignore the horrible animation in the knife fight scene. Alien invasion, a converted alien destroyer is mans only hope, fighters that change into giant robots, a love tiangle and pop music. Formed the first third of Robotech, but the recent ADV remake using Animego's remaster is better due to better video quality and that they got the original seiyu to voice and sing for Minmei. The story's more refined and the characterization's more subtle and complex. Similarly, Macross Zero, Plus and Frontier are good. 7 is, more a matter of taste. I like it, but it's a bit weirder. Production order was Macross, Plus, 7, Zero, Frontier. In universe order is Zero, Macross, Plus, 7, Frontier. Flashback 2012 is a music video series with animation showing what happened to the three main characters in the original series. Do You Remember Love is a theatrical version of the orininal series that can be taken as an alternate version of that story or (the current official view) as the movie made in Macross 7 about the events in the first series. Macross II is a completely different universe and was made by a different studio then the rest.
Full Metal Panic: Teenage special forces soldier with no socialization sent undercover to watchover a teenage girl. Hilarity and romance ensues. Also, giant robots, love triangles and mad science. Second Raid is the second season, and Fumoffu is all the comedy side-story lines from the manga that weren't animated for the first series.
Tenchi Muyo! - Ryo-Oki: One of the classics. Three OVA series. Ordinary kid winds up the most elegable bachelor in the universe with alien princesses, galactic cops, space pirates, extradimensional dieties, and mad scientists fighting (often literally) for his affections. Tenchi Universe, Tenchi in Tokyo, and the movies are all different worlds from this. Don't think too hard about the relationships though.
Outlaw Star: If you liked Bebop, you'll probably like this. It's not as stylish as Bebop, but it's more epic space opera. The spinoff Angel Links isn't as good, but it's not as bad as some say. It's very different though.
Dirty Pair: Two attractive female agents who have a tendency to blow everything up and not bother to ask questions later. Remade as Dirty Pair Flash.
Scrapped Princess: Fantasy (sorta) show about a teenage girl being hunted by the church as the cause of the end of the world and protected by her sword master brother and military wizard sister.
Record of the Lodoss War: The original is a OVA series based on a novel series based on the author's D&D game. The TV show, Legend of the Heroic Knight ignores the last third of the OVA to readapt it more faithfully from the novels. The Legend of Crystania TV show and OVA series follow the adventures of the 'villains' after the Lodoss War. Rune Soldier Louie takes place on the mainland and is unrelated to the Lodoss War plot line. Lodoss and Rune Soldier are stronger then Crystania, although Louie is a comedy and the rest are dramas.
Patlabor: Police using giant robots, but the robots are really not important compared to the characters and police work. The OVA, TV show, and movies are completely different worlds, with the original OVAs being slightly better. The movies are probably some of the best anime done, delving into some rather deep stuff. Also, somewhat uniquely, giant robots came from the construction industry and were then adapted to police work and then to military use.