The first line of Satan, in any vaguely comedic work made from the The Seventies on, is practically obligated to be: "Please allow me to introduce myself - I'm a Man of Wealth and Taste." For any poor deprived souls who don't get the reference, it's The Rolling Stones's "Sympathy for the Devil."
Half of the show is people delivering hams, and many turn into this. The other half are mechs and blowing shit up. Even Nia pulls some at some point.
FLCL 's Haruko Haruhara introduces herself with an overenthusiastic cry of "LUUUUUUUUUNNNNNNCCCCCHHHH TIIIIIIIMMMMMMEEEE!!!!!" and running the main character over with her Vespa and beaning him on the head with her bass guitar.
Baccano: Ladd Russo enters with the line "Thank you! fuck you! The star is here!"
Gundam00: Graham Aker when transforming his mecha from plane to robot form in mid flight to do a bodyslam, "I call this, the Graham Special!!"
Pokémon: The Team Rocket trio make rather a production of their entrances, going beyond a simple catch phrase to several catch sentences. More like a catch poem, really. It gets hammier and hammier with each season. They even did a Karaoke-style song once to introduce themselves. They do it so often that in To Master the Onixpected! Meowth even uses a remote to speed up the part of the episode where they perform their motto. James bites his tongue in the process from talking so fast. Meowth has a remote that can screw with reality... and he never uses it again!?!
Pokémon Special has Black, whose first line was "I'M GOING TO BE THE CHAMPION OF THE POKÉMON LEAGUE!!!", which freaked out the other characters.
Nobunaga: Bow before me. As penance for disobeying the lord of the clan of a hundred demons, die and repent in the afterlife. There are none before me, and none behind me. I am the Devil King of the Sixth Heaven, Oda Nobunaga! *dramatic cape swish*
Wakamoto adds to that with his magnificent voice, as well as being able to roll every r in "Oda Nobunaga", an incredible feat considering there is no r in "Oda Nobunaga".
In the manga Armstrong is introduced during the battle with Scar. Scar has just said he will kill everyone there; this is followed by "I'd like to see you TRY!" and Armstrong's fist smashing the ground millimeters from him. And then there's Basque Grand's entry in Ishval: "I am the Ironblood Alchemist, Basque Grand! Iron & blood, might & manpower! If I do not lead the charge, than who will?!"
The Princess of the Crystal's "SURVIVAL STRATEGY!" in Mawaru-Penguindrum, even before taking into account the minute-long summoning sequence that follows.
Iskander from Fate Zero decides to make his public entrance into the fourth holy grail war by crashing his flying thunder chariot directly in-between a dueling Saber and Lancer, leaving skid marks in the concrete, before throwing up his arms, loudly and openly declaring his true name, and then inviting both combatants to join his army and help him Take Over the World.
In the "Molten Core" raid deck for the World of Warcraft trading card game, whoever's playing the raid deck is encouraged to do this when the final boss appears. "Behold Ragnaros — The Firelord! He who was ancient when this world was young! Bow before him, mortals! Bow before your ending!"
In Magic: The Gathering, the joke set Unhinged has a card called "Carnivorous Death Parrot" that requires the player to read its flavor text at the start of every turn to keep the creature in play... the text "Save a kill spell to deal with this guy." (It makes sense when you see the picture.) There's also Infernal Spawn of Evil: "It's coming!" as well as "Ach! Hans, run!"
"Save a kill spell to deal with this guy" is a drawback — five cards in the same set have the ability "whenever an opponent says [either of the words in this card's name], you may say 'Gotcha!' and return this from your graveyard to your hand". The death-parrot triggers all five. It triggers six if your rules-meister considers 'to' to be a homophone of 'two'...
Marvel Adventures demonstrates that his idea of a casual entrance involves blowing up walls. When Spidey complains that most people would use the door, he dismisses the idea as being for peasants.
"On your knees for the master! The hour has come! He has come! Who is beyond good and evil? Who is the prophet of Anti-Life? Who is the rock and the chain and the lightning? All powerful! All unforgiving! All conquering! Who is your New God now and forever?"
Megamind's entrance into the climax defines this trope, embraces it, and asks for extra pineapple slices. The following exchange happens at the top of a large skyscraper, amid a laser-light show with smoke effects, with thousands of flying robot minions forming the illusion of Megamind's head, and all to the already-pretty-epic beginning of Guns N' Roses' "Welcome to the Jungle".
Megamind: You dare challenge Megamind?
Titan: This town isn't big enough for two supervillains!
Megamind: Oh, you're a villain alright. Just not a super one.
Titan: Yeah? What's the difference?
[The giant head's mouth opens, and the actual Megamind walks out on the tongue.]
Pretty common in Disney characters, especially the villains.
Hercules: "How sentimental. You know, I haven't been this choked up since I got a hunk of moussaka caught in my throat! Huh? So is this an audience or a mosaic? Hey, how you doin'? Lookin' good. Nice dress."
Syndrome in The Incredibles: "Iiiit's bigger. Iiiits better. Iiiits TOO MUCH FOR MR. INCREDIBLE!"
Films — Live-Action
Pulp Fiction: Before Samuel L. Jackson asked Brett to "SAY WHAT AGAIN!" he "DON'T REMEMBER ASKING YOU A GOD DAMN THING!". Cue the introduction to the general public one of the biggest hams in the history of film.
The Fifth Element "KORBENNNNNNNNNNNN DALLLLLLLLLLLLLLASSSSSSSSSSSSSSSSSSSSSSSS!!!" - or for that matter, any time Ruby Rhod enters a scene. Any time the camera cuts away from and back to him counts.
Richard Henry Lee's first (spoken) line in 1776: "You sent for me, Benjamin". It's less of what he says and more of how he says it. Ron Holgate (Lee in the original Broadway production and the film) was American musical theater's version of BRIAN BLESSED.
Creedence Leonore Gielgud of Troll 2: This is MYYYYYYYYYYYYYYYYYYYYYYYYYYYYY house!.
"You punched me in the boob! Prepare to die, obviously!"
"Now you listen close and you listen hard, bucko. The next click you hear is me hanging up. The one after that... is me pulling the trigger."
The Guardian, the bad guy in Highlander The Source, introduces himself to Duncan by zipping up to him and screaming, "THIS IS THE END OF TIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIME!" Duncan's reaction face is priceless.
John Malkovich in Eragon. "I suffer without my stone. DO NOT PROLONG MY SUFFERING!"
Kelly LeBrock's smoky "So....what would you little maniacs like to do first?" in Weird Science.
Kevin Spacey in Se7en: "Detective. Detective. DETECTIIIIIIVE! You're looking for me."
Iron Man arrives to the strains of AC/DC's "Shoot to Thrill", which he transmitted into the radio communicatior of the SHIELD quinet and repulsor blasts Loki off his feet and aims all the gajillion guns embedded in his suit at him. The line itself, "Agent Romanov, you miss me?" is understated. Tony likes to talk with his actions and BGM.
There is a joke, which not only requires much Ham to be properly told, but is almost a literal example:
"It's COMING!" "What?" "IT!" "What 'it'?" "The WIENER SCHNITZ—" (vomit)
Bartimaeus has a bad habit of doing this. The first time he arises from the pentacle in a whirl of malicious special effects and spouts off a three-line list of titles, it's rather impressive. Thereafter it becomes progressively hammier as new achievements of dubious accuracy get added to the list, especially since we only see him do it with the one guy who's heard the spiel already.
At one point he says that djinn in general like to constantly top themselves when it comes to entrances, both for fun and because a flashy entrance can startle an unprepared magician enough for them to mess up the summoning, allowing the summoned creature to get their vengeance.
In David Eddings' The Elenium series, the Child-Goddess Aphrael definitely enjoys her drama, but she only steps into this territory when one of the knights complain about her tendency to teleport in right next to them/behind them, and nearly scare them out of their full-plate armor. Her next appearance is prefaced by a divine symphony of trumpet fanfares. Just to let them know she's coming.
The Mighty Boosh: Not a one liner, but Bob Fossil's entry in the Stage Show fits this trope nonetheless. It's over the top, it's noisy, it announces the presence of a Large Ham... the only difference is that it goes on for longer.
Will and Grace: "Hey, friends, lovers, mothers and other strangers, you are not going to believe what happened to me..."
In Doctor Who, particularly the new series, the first appearance of a Dalek in a story is always accompanied by the all-purpose Catch Phrase "EXTERMINATE!"
Variations include "HALT! STAY WHERE YOU ARE! YOU ARE A PRISONER OF THE DALEKS!", and so forth.
In Journey's End, some Daleks in Germany use the battle cry of "EXTERMINIEREN!".
In all his appearances, The Master tends to announce himself with "I am the Master, and you will obey me."
The Captain's introduction in The Pirate Planet: "MR. FIBULI! MR. FIBULI! BY ALL THE X-RAY STORMS OF VIGA, WHERE IS THAT NINCOMPOOP?!"
Timothy Dalton with Gallifrey RISES! whilst spitting all over the camera.
Captain Jack's return to the show: "DOOOOOOOOOOOCTOOOOOOOOOOOOOOOOOOR!"
Subverted on Scrubs. Dr. Kevin Casey, played by Michael J. Fox, walks in dramatically and looks like he's about to give a one-liner... then stops, turns around, and comes back again. Then he stops, turns around, and comes back again, and J.D. reflects on his obsessive-compulsive disorder. Once he's made his entrance to his satisfaction, in lieu of a proper one-liner, he makes some comment about the crazy-strict rules he gave himself about entering the hospital.
The West Wing: President Bartlet's first appearance on the show is preceeded by his proclamation (in the full authoritative voice of the President), "I am the Lord your God! Thou shalt have no other gods before me." It Makes Sense in Context, but wow.
In Season two, White House Counsel Lionel Tribbey, an imposing man by any standard, makes his first entrance by bursting through a door shouting "I WILL KILL PEOPLE TODAY, LEO!", while brandishing a cricket bat that was given to him by Queen Elizabeth II.
Seinfeld: Kramer always entered Jerry's apartment with a dramatic slide - but it was postal employee Newman who had a recurring Ham whenever he entered a scene.
Momotaros/Sword Form in Kamen Rider Den-O has his catchphrase "Ore...Sanjou!" ("I have arrived!"), which he simply can't appear without saying. In All Riders vs. Dai-Shocker, he even pushed a Mook out of the way just to make sure he got his catchphrase in. And God have mercy on you if you interrupt it!
WKRP in Cincinnati subverts this brilliantly in one episode, where Les Nessman introduces a new opening theme to the news that's such of an Incoming Ham you expect it to be directed by Cecil B. Demille and voiced by James Earl Jones. He then begins the news in his normal squeak of a voice.
Lord Flashheart from Blackadder is such a Large Ham he does this twice; first he rappels into the corridor and declares "Iiiit's ME!" Then he enters the room and announces "Flash by name - Flash by nature! Hurrah!", a sentiment shared by all the cast except Edmund. He also has the brilliant "Enter, a man who has no underwear."
General Melchett occasionally gets this. In the second episode his entrances are proceeded with his signature "BAAAAAAAHHHH", the second instance even causing Blackadder to flatly utter "I'm dead."
Sumitani was a walking Incoming Ham, as he was always... happening upon unsuspecting people with lines like these.
In the last scene of episode 3 of Game of Thrones, we're introduced to swordfighting instructor Syrio Forel, who's essentially played as a Spanish fop and says every single line as dramatically as possible. "JUST SO!"
On Arrested Development GOB and Buster are impressed by rival magician "Tony Wonder" (Played by Ben Stiller) who only appears when someone uses the word "Wonder" at which point he tosses a smoke bomb, jumps out from hiding, and proclaims, "Did somebody say WONDER?!"
"Alright, [insert city/venue here]! Yoooou wanted the best... You got the best! The hottest band in the world... KISS!"
The line, but not the trope, is subverted at some Guns N' Roses concerts: "Alright, [insert city/venue here]! Yoooou wanted the best... but they didn't make it. Here's what you get! From Hollywood... GUNS N [FUCKING] ROSES!"
In a mission where you are sent to stop the Circle of Thorns from summoning Baphomet, Bat'Zul's arrival is preceded by four waves of herald demons who announce his impending arrival. Talk about ego.
For that matter, almost every Archvillain or Elite Boss or allies, and many boss-level enemies have a few lines to introduce themselves. Most of them aren't too pretentious, although Lord Nemesis! is behind everything.
Zetta is later out-hammed by King Drake the Third, with his introduction of "I am the king of the universe! The galactic hero; the creator of all things, decently sized! Say my name if you know it! I am... * dramatic explosion* ... KING DRAKE THE THIRD!" The fact that King Drake III is voiced by Norio Wakamoto in the Japanese track (who is practically the Patron Saint of Hammy Seiyuu) helps.
The World Ends With You: Lots of Reapers demonstrate various levels of hamminess. Sho Minamimoto manages to beat them all out.
Minamimoto: Sooo Zetta Slow! How long does it take you to crack a Z-Class code! You factoring Hectopascals!
TOO SOON! YOU HAVE AWAKENED ME TOO SOON, EXECUTUS!
Also, the Headless Horseman. EACH OF YOU SHALL PAY THE FINAL SUM! CRRRRRY FOR MERCY! THE RECKONING HAS COME!!
YOU ARE NOT PREPARED!
Lord Marrowgar. THIS IS THE BEGINNING, AND THE END MORTALS! NONE MAY ENTER THE MASTER'S SANCTUM!
Sindragosa. YOU WERE FOOLS TO HAVE COME TO THIS PLACE!
Deathwing, in Cataclysm'sintro cinematic. The opening note of music, silence, then: "PAAAAAAAAAAIN! AAAAGONYYYYYYY! My hatred BUUUUURNS through the CAVERNOUS DEEP!"
An interesting twist is in the Frost Lord Ahune encounter. When he is summoned, the player is the one delivering the lines - one of the rare instances in which the game makes a player character talk. Also done in the Headless Horseman encounter, actually. "Horseman rise/ Your time is nigh/ You felt death once/ Now, know demise!" There is never any other indication in the game that your character is the poetic sort.
More recently, Ultraxion. I am the beginning of the end! The shadow which bolts out the sun! The bell which tolls your doom! For this moment ALONE was I made! Look upon your death, mortals...and despair! Most of the dragons do this.
Any time in a Sonic the Hedgehog game when Dr. Ivo "Eggman" Robotnik introduces himself. Sonic and Shadow do this too, to a lesser extent.
Grahf does a bit of this in Xenogears whenever he shows up to ruin your day. Saying things like "Doth thou desire the power?" and "Blossom o fallen seed and grant unto thee the power of the glorious Mother of Destruction!" His kicking tune doesn't hurt either.
Magneto, in the X-Men arcade game: "X-Men! Welcome... TO YOUR DOOM!"
Vice President Richard Hawk from Metal Wolf Chaos: "Hello hello hello, hello, Michael! How's life treating you?" He also has a habit of using Evil Laughter for the same purpose. His first line in the game is evil laughter, and sets the tone for his performance.
HOW DO YOU LIKE ME NOW???!?!?!?!?!?
Everyone in Team Fortress 2 has their hammy moments, some more than others, so many of their "battle cry" lines — uttered at the beginning of every round — count as this. Especially the Heavy and Demoman. Also, the Heavy's Übercharge lines, given the context. "IS GOOD TIME TO RUN, COWARDS!"
Kefka has his fair share as well. His unique and immediately recognizable laugh precedes some of the greatest ham the series has ever served up.
''BlazBlue':' "I am the man of love and justice, Bang Shishigami!" And while we're at it: "I am the white void. I am the cold steel. I am the just sword. With blade in hand shall I reap the sins of this world and cleanse it in the fires of destruction. I am Hakumen. The end has come!"
While damn near all capital ships in Sins of a Solar Empire are hammy special mention goes to the Vulkuras Desolater... because... well... just listen to this... thats just what he says when he spawns...
Let us not forget Hades' first appearance, in which he RIPS THE CREDITS OFF THE SCREEN, and proceeds to refer to you as "Pitty-Pat". Really, any time he speaks could qualify. "Good morning, do-gooders!" and "Paluteeeeenaaaa! Oh, pretty Paluteeenaaa! Can you hear me?" are particularly wonderful examples.
Similarly, Moarte always starts off with some variation on "HELLO, my cheeldren!"
On the show Adventure Time, Lemongrab makes his grand entrance by walking into the castle on a camel, and declaring, in a shrill, cracking scream: "This Castle Is... In... UNACCEPTABLE CONDITION! UNACCEPTABLLLEEE!!! THIRTY DAYS IN THE DUNGEON!!!"
"Grand Galactic Inquisitor" is 12 feet tall and shines what amounts to floodlights from his Eye. His voice is so powerful, his voice can be felt "in [your] chonies". However, his incoming line is "IGNORE ME!!!!!"
The Monarch and Dr. Orpheus also have been known to make grand entrances. Most of Orpheus's early dialogue was underscored with trumpet fanfare.
Joker: And what's wrong with that? It's done wonders for me!
In My Little Pony: Friendship Is Magic, Discord announces his presence via a silkily taunting, teasing disembodied voice, but doesn't actually appear, so it's not an example. When he shows himself in person with evil laughter and lightning in the background after disappearing all the main cast's horns and wings, then he gets hammy.
Discord: You should see the looks on your faces! PRICELESS!
From much earlier, Nightmare Moon's entrance in "The Mare in the Moon".
Princess Luna's entrance from "Luna Eclipsed".
"Come one, come all! Come and witness the amazing magic of the Grrreat and Powerful TRRRIXIE!" Bonus points for making her first appearance in a puff of smoke and sparks while her signature fanfare plays in the background.
The Warner Bros. cartoon The Mouse That Jack Built had the cast of The Jack Benny Show giving voice to their cartoon likenesses as mice, including Don Wilson who thinks he's doing a commercial. When Jack tells him it's a movie, Don suddenly goes into Shakespeare before Jack dismisses him.
"The difference between the insane man and me is that I am sane." "I am drugs!" Salvador Dali had his moments.
Former New Zealand cricket player Danny Morrison serves as a commentator for the IPL. His Catch Phrase when he's commentating a game being played in Pune (home of the Pune Warriors India)? "PUNEEEEE!!! NAMASTE!!!"