Edward Elric of Fullmetal Alchemist is somehow dropped into the world of Naruto like a rock into a pond and tries to cope with it, with not very good results. The fic starts in the "Search For Tsunade" story arc, and almost immediately during the encounter with Naruto and two Akatsuki members, Itachi and Kisame. After that, Edward is promptly arrested and sent to the Interrogation Department, where Hilarity Ensues.Read it here.
Bathroom Break-Out: While on the run, Ed runs into team 10 and Gai. Unaware that Ed has just escaped from prison they try to talk with him. Ed excuses himself to the bathroom and never returns, much to Gai's confusion.
Edward's second attempt is less successful. Ed pretends to take a shower and while the water is running, tries to escape out the window. He is caught almost immediately but pretends to be offended that they would watch him in the shower. Neji points out that he wasn't in the shower, but if Ed wants to be supervised in the bathroom he should continue this behavior. Also he should stop wasting water.
Big Eater: Ed and Naruto. In Ed's case, this actually poses a problem for the medical team after he is critically injured by Itachi; Ed's unusual metabolism plus his connection to Al's body means that he processes blood pills and other medications too quickly for them to take effect and requires twice the amount of nutrients and sugars to stabilize his blood sugar.
Big Brother Mentor: Naruto quickly decides that Ed is one of the coolest people he's ever met, and takes advice from him pretty easily. Lee also has a moment of this with Ed, when he gives him some good advice on dealing with the trauma of having his limbs crushed in the Chunin Exams, as well as his fear of something going wrong in surgery.
Body Horror: During an ambush by the Sound 4, Ed is forced to use deconstruction alchemy when one of the attackers tries to behead Hinata; the end result is a gory mess of pulped organs and limbs and a horrified Team 8.
Naruto comes across a dying ANBU woman. She stops breathing and has no pulse and Naruto knows that he doesn't have time to find a med-nin. He attempts to administer CPR and her chest caves in, though at that point she was likely already dead. It's disturbing regardless.
" He pushed down and her chest collapsed in on itself with a hundred brittle snapping sounds like stepping on a bag of cornflakes"
Cavalry Betrayal: The ANBU team that seemingly came to back up Hinata and Ed appear to members of ROOT and they subsequently turn on them once Tayuya is incapacitated.
Chronic Hero Syndrome: Ed. He knows it, and it gets him into trouble more often than it pays off, but he can't help it—he's Ed.
He tries to ignore it, he really does. But every time this happens he starts hearing Al's voice telling him that he needs to help.
Clothing Damage: Ed has a transmutation circle in the palm of his left hand that allows him to deconstruct matter, like Scar. So far, he's only used it to destroy Morino Ibiki's coat and Tsunade's shirt.
Diplomatic Impunity: Tsunade tries to invoke this by declaring Edward an ambassador of Amestris. In doing so she hoped to grant him amnesty and to protect him from harassment by her political rivals.(i.e. Danzo) It doesn't work. They just go behind her back and brand him with a Caged Bird Seal.
For Want of a Nail. Ed's presence in the Naruto world prevents Sasuke from being Mind Raped by Itachi and from choosing to join Orochimaru. This will drastically change the course of his life and the lives of many others by extension.
He also gets Naruto start thinking more carefully when he teaches him not to wave his cash filled wallet around.
Giant Spider: Kidōmaru's spiders range from the size of pit bulls to oxen.
The Glomp: Happy to see that Ed had survived their encounter with Akatsuki, Naruto manages to take down both Edward and Kiba in an enthusiastic tackle-hug.
Good Cop/Bad Cop: During T&I's initial interrogations Ibiki plays Bad Cop and Anko plays Good Cop.
Handicapped Badass: In addition his abnormalmetabolism, Ed spends a good portion of the story one-armed due to the research department confiscating his automail. He not only manages to escape his holding cell and sink multiple buildings in his path (including the interrogation center and the Hokage's tower), but also breaks into said research department and holds his own against a chuunin-class shinobi.
Anko:Officially, I can't interrogate him, but [Tsunade] didn't ban personal contact. And if something interesting should slip out in a moment of passion
Kakashi:I think there might be a flaw in your plan,
Kakashi:He hates you.
Anko:That just makes it more fun
Ino (with some "help" from Naruto) also tries to charm Edward for information to pass on to Sasuke. She hasn't improved from when she tried to seduce Neji during the Chunin exams and the whole thing becomes awkward very quickly.
The Inspector Is Coming: The Daimyo's envoy had been invited to the village to assure the Daimyo that Konaha is secure and can still fulfill Fire nation's military duties after Orochimaru's invasion. During the envoy's stay Edward breaks out of the interrogation department and sinks the building. Instead of admitting that they have an prisoner with unknown destructive potential on the lose, they say that the T&I department was intentionally moved underground for "security reasons" and quietly issue a notice for "a short, one-armed shoplifter who [is] wanted for questioning." The envoy doesn't entirely buy it.
It's Personal: Ibiki has had a little bit of a grudge against Edward since the latter broke out of his holding cell and sank the entire interrogation department.
I Shall Taunt You: Anko's strategy to bait Kimimaro out of his bone forest  so that Might Gai can land a hit
Living Lie Detector: The dog at the vet's office. Ed gets away largely thanks to a series of misunderstandings from which everyone assumes (much to Ed's indignation) that Ed is a Crazy Homeless Person who's escaped from a mental hospital.
No Sell: With the exception of Itachi's Tsukuyomi, Ed is completely immune to genjutsu. And even that can only hold him for a little bit before he figures out how to escape it.
Organ Theft: A female sound ninja tells her comrades not to damage Hinata's eyes, they're worth quite a lot of money.
While not really a original body part, Konoha researchers borrowed Ed's automail arm without permission, and aren't particularly keen on returning it. Not entirely surprising given the prevalence of, and the attitudes toward this trope regarding actual organs in Naruto cannon.
Playing with Fire/Stuff Blowing Up: Ed carves Mustang's oxidation array into a cigarette lighter, allowing him to flash-fry and temporarily blind unsuspecting adversaries.
Please Wake Up: This is inverted by Naruto, whose fear of this trope makes him dislike watching unconscious people. He mentions that he drives his teammates and friends crazy "accidentally" waking them up on overnight missions just to make sure they can wake up.
Power Tattoo: Ed has a variety of arrays tattooed onto his body in the case his automail is destroyed or stolen.
Prison Escape Artist: Ninja prison cells are designed to detain ninja, not alchemists. The chakra suppression seals that prevent prisoners from preforming ninjusu have no effect on alchemy because it doesn't require chakra.
Produce Pelting: Tayuya’s auditory genjutsu gets her into an angry shouting match and covered in tomato.
There Is Another: The "Al Doll" would indicate such. However, exactly who sent it is a mystery, and while Ed initially takes this as a sign that his brother is alive and searching for him, his conversation with the shinigami has led him to believe otherwise. The question of whether it is intended as a message or as a trap has yet to be answered.
Torture Technician: Ibiki Morino is the head of T&I. Staff members like Anko, Masao, and Goro might also qualify.
Treasure Chest Cavity: Ed uses his automail as a sort of improvised storage space for small equipment, including his lighter and a roll of pre-inscribed transmutation circles.
Troll: Ed to Sasuke. All the damn time. This in addition to an earlier embarrassment quickly installs the Fullmetal Alchemist as Sasuke's new Berserk Button.
Similarly, Anko absolutely loves trolling Ed himself.
Weak, but Skilled: While Ed's agility and strength are impressive for someone of his stature, his inability use chakra makes him hard-pressed to keep up with his chakra-enhanced shinobi opponents. On the other hand, his alchemy is more versatile and environmentally adaptable than jutsu which, combined with Ed's resourcefulness, allows him to create improvised weapons and equipment from seemingly harmless everyday items (see  above) and control his environment to gain the upper hand (such as creating a vacuum to stop sonic-based weapons or transmutating the air into nitric oxide to anaesthize building occupants).
Well-Intentioned Extremist: T&I don't particularly want to hurt Ed, but they want his information and techniques, for the good of Konoha, at any cost.