(Summary based on the entry on That Other Wiki)Burst Angel, also known as Bakuretsu Tenshi, takes place in the near future. A rise in criminal activity after a devastating earthquake has forced the Japanese government to allow citizens to possess firearms, while establishing the Recently Armed Police Taskforce (RAPT), essentially Law Enforcement, Inc.. The series follows an Amazon Brigade of mercenaries, who have recently hired Ordinary High School Student Kyohei Tachibana as their cook. The team's missions put them against mutated monsters with glowing brains, Humongous Mecha with glowing brains, and a corrupt RAPT (which is, naturally, involved with the whole "glowing brains" issue).Notable for being directed by KoichiOhata, although it shares relatively little of the qualities of his other (in)famous works.
Burst Angel contains examples of the following tropes:
Accent Adaptation - In the English dub, Osaka is pretty much Texas. In the DVD commentary, this was explained as almost being out of necessity because of the strong Western influences of the story. And frankly the Osaka arc seems like it was actively written with Texas in mind.
Also of note is the fact that up until this point FUNimation had tried as hard as possible to avoid doing this in any other shows.
A Day in the Limelight - Even though he's the first character we're introduced to, Kyohei only really has a single episode where he's the focus character.
Badass Longcoat - Jo is a Badass Longjacket; Takane's a Badass Long-seifuku.
Bait-and-Switch Lesbians - The manga that serves as a prequel to the series has Meg basically out-and-out in love with Jo and desperately wanting to consummate their relationship at any opportunity. This is very toned down to the point of disappearing by the time the series begins and Kyohei is added.
The same episode where we find out that Sei is a Mafia Princess actually has Meg very interested in the handsome men that have shown up. Meg is perhaps bisexual and has given up on the seemingly asexual Jo by the time the anime begins?
Crossdresser - Kyohei has to in order to sneak food (and equipment) to Meg during a few episodes when the latter is infiltrating an all-girls' school.
Crouching Moron, Hidden Badass - Subverted during an episode where Meg has her "hunger" switched around with her will to fight. She spends the rest of the episode mopping up gangsters with impossibly cool kung-fu moves... And then later claims to have no memory of what happened at all.
Delinquents - Takane and her Girl Posse are all former female biker gang delinquents turned police officers.
Decoy Protagonist: A first it looks like Kyohei's the lead but then it very quickly shifts away to the point where he barely appears at all in later episodes.
Fan Service Pack - Sei and Meg go up several cup sizes about halfway through the series; the Beach Episode actually uses both character designs in different parts of the episode.
Gangsta Style - Jo, both when aiming her actual guns and those of her Humongous Mecha. She really ought to know better.
Getting Crap Past the Radar - In the Beach Episode, there is an environmental group called the "Organization for the Nature Preservation of Tokyo". This gets the acronym "ONPOT".
Impossibly Cool Clothes - Just about everyone. For instance, Jo's chaps alone should cost several thousand dollars if they're made of real suede, not to mention Amy's chest... ball... thing.
Law Enforcement, Inc. - RAPT. Also Hanshin Police Department, Inc., owned by the same company as the second oldest baseball team in Japan, the Hanshin Tigers (thus explaining why tigers are emblazoned on their everything).
Mafia Princess - Sei, though we learn this later. She's also much more benevolent than most other examples.
Magic Skirt - Meg's doesn't do the obvious even when she's hanging upside down from a moving train.
Mind Rape - The brain creature that disguised itself as Nadeshiko (in "Wash This Courtyard With Blood") was doing this to Jo when Meg ventilated it with Jo's BFPistol.
More Dakka - Jo lives by this, as does Meg to a lesser extent.
Playing Against Type - In the dub, Monica Rial was intentionally cast against type as Jo. In the DVD Commentary she mentions that she went in to audition for Amy and the director wouldn't let her.
It is so bizarre to hear Monica's 'real' voice after watching several of the episodes - and yes, her natural voice would have been perfect for Amy. Pretty impressive bit of voice acting.
Professional Wrestling - "Mega Rider" from the Dai-Osaka arc combined this with a Kamen Rider parody. And bore an odd resemblance to Kaiju Big Battel. Notably, Jo is very surprised to discover that it isn't real.
Power Tattoo - Appears when Jo is in combat. Purple with lighter "shimmering".
Psycho Lesbian - Maria becomes strangely attracted to Meg, and starts to think that she'll be spoils of war if she defeats Jo.
Psychopathic Manchild: What Jo amounts to; a cold-hearted assassin who is only really enjoying herself when fighting and who spends all her free time watching ulta-violent movies in an effort to find some way to amuse herself.
Refusal of The Call - After the double-kidnapping fiasco in the first two episodes, Kyohei tries to quit the job he accepted as the cook for Sei's group; unfortunately for him, they really liked the meal he cooked as an apology...
Ridiculously Average Guy - Kyohei is really only there because apparently someone felt that normal everyday Japanese young men wouldn't watch the series if one of them wasn't in it. He's billed as the central character and protagonist, but could be written out completely without even trying.
Rollerblade Good - Django has motorized wheels in its feet for highway travel. When not in use, they look like spurs.