Dr. Horrible's Sing-Along Blog - Johnny Snow claims to be Dr. Horrible's nemesis. Similar to the Buffy example above, Dr. Horrible does not take him very seriously, considering Captain Hammer to be his actual nemesis. For his part, Captain Hammer thinks of Dr. Horrible as just another villain that he regularly defeats, and a fairly pathetic one at that.
Dr. Horrible "OK. Dude. You're not my nemesis. My nemesis is Captain Hammer. Captain Hammer, corporate tool! He dislocated my shoulder last week. Again."
Atop the Fourth Wall and The Spoony Experiment - Dr. Insano was both Spoony One's and Linkara's nemesis. Lately though, Linkara's moved on to new enemiesnote because getting Spoony to appear in his videos all the time is logistically unfeasible, and Insano is now more of an annoyance to Spoony.
Mechakara is a better example, as he is Linkara's most determined enemy. He has been destroyed twice and came back stronger then ever. Plus, he's the star villain of The Movie, and has nearly outmaneuvered Linkara twice through his adaptability.
Lately though, Linkara's new archnemesis has become Lord Vyce. He was the first true example of Serial Escalation for Linkara in bringing in a cosmic enemy. Then after his first defeat, Vyce became VERY personal for Linkara, leading to Pollo's near death and Nimue's near shut down. Further, Vice hates Linkara for stealing his ship and stopping his crusade against The Entitynote And refusing to believe that he actually killed it. (he did it by Talking the Monster to Death)]]
In Survival of the Fittest, both the winner of V1 and the winner of V2 have their own arch enemies. The V1 Winner, Adam Dodd, has Cody Jenson, who killed his girlfriend, raped one of his friends, and beat his other friend into unconsciousness. The V2 Winner, Bryan Calvert, has Mariavel Varella, who killed his girlfriend after swearing vengeance on Bryan for killing her boyfriend. Neil Sinclair (who was not the winner, but definitely the hero) of V3 had Danya himself.
Agamemnon Tiberius Vacuum claims Brooke Brodack is his nemesis (a claim she embraces). What exactly the past relationship between the two that lead to this is, is still unclear.
In the Hitler Rants parody, Hitler's archnemesis is resident trickster Hermann Fegelein... the former is always at the butt end of the rivalry.
In the 2nd sequel, Ringman actually becomes Tiamat's arch enemy, even though he personally never laid a glove on her; then because of his bid to free the centaurs, Ringman even becomes the Dungeon Master's arch enemy.
In his MinecraftLet's Plays, the Evil Chicken is this to Gronkh. It's uncertain whether he considers Evil Chicken a specific creature which keeps reappearing to ambush him, or the chickenhood is not only evil but his personal arch enemy.
Spikerbleeper - Arch Enemy of Mr. TARDIS.
[[STAR]] has a huge hatred for sentries, but what he hates the most is the Mini-Sentry from Team Fortress 2. Justified since it's the no. 1 thing that ruins EVERYTHING for him. The worst thing that happened to him was playing the perfect loadout to get ruined by a Mini-Sentry.
Let's not forget slowbeef, who attracted Phil's ire when Retsupurae mocked the TIHYDP of Metal Gear Solid 2, causing DSP to threaten to DMCA any videos using his footage, causing Slowbeef to make a parody video where he played Demon's Souls as DSP, causing DSP to try and get Slowbeef banned from Twitch TV because Beef used a ten second clip from one of his videos on stream(but, since this was DSP, it failed miserably), which led to A Day in the Life of DarkSydePhil which DSP DCMA'd... Basically, there was no point in the feud where Phil didn't look like the Yosemite Sam to Slowbeef's Bugs Bunny.
Oancitizen's seems to be Harmony Korine, as Kyle has apparently reviewed more of his movies than any other film-maker, and it's obvious from said reviews that Kyle haaaaates this guy.
Rythian considers Sjin and Duncan Jones to be this throughout The Blackrock Chronicles, since they destroyed the old world and routinely harass him. They eventually reconcile.
RWBY: Ruby and Torchwick. By the time they meet again in "Heroes and Monsters", Torchwick is so fed up with "Little Red" getting herself involved with his plans that he's reduced to angrily whacking poor Ruby with his cane in frustration while punctuating the beating with a vicious Why Won't You Die?Motive Rant, rubbing in exactly what he thinks of her heroics. Unfortunately for Torchwick, doing this while surrounded by a horde of monsters which are attracted to negativity results in him being Swallowed Whole.
The Executive from Fallout Is Dragons fits this trope for Powder Keg, as he forced the young unicorn to shoot his own brother for no reason other than his own amusement.
In The John Dredge Nothing To Do With Anything Show's Human League of Justice sketches, Phil Oakey and Gary Numan are portrayed as arch-enemies. In the first episode, Numan wants to regain the top of the charts by using a Number-One-Alyser-Ray. In the next episode, he's taken Susan Ann Sulley and turned her into a "Numanoid" in order to defeat the Human League and steal their fan base from under their noses.
Nightmares the Clown is the archenemy of Frank and Sadie Doyle in The Thrilling Adventure Hour. A Monster Clown that thrives off fear. He was Frank's childhood boogeyman and Frank remained afraid of him even in adulthood until Nightmares came face to face with Sadie's utter inability to take even Monster Clowns seriously. Nightmares would go on to threaten them numerous times and each time failing before Frank and Sadie until, upon his defeat in the final "Beyond Belief" segment, he realizes that he fears Frank and Sadie.
The MLP Abridged SeriesScootertrix the Abridged, make a Running Gag out of this, with various characters unexpectedly turning out to have an arch-nemesis. Celestia claims to have five, four of which have been revealed so far: King Sombra, Queen Chrysalis, Spike, and Kevin Bacon.
Froge is always willing to take pot-shots at Undertale, especially when compared against games that he thinks are better than Undertale, such as this section from LISA Session 03 Review:
The one thing that Undertale will never understand is that you cannot make the audience enjoy your work by throwing them into tangentially related situations, and expecting them to feel exactly what you expect to feel. You cannot make them laugh when you throw in the obligatory funny scene with the rock. You cannot make them feel sad by making them kill somebody who could have been avoided by sneaking out while they're asleep. You cannot throw your character into a world without any cohesion to it, and still expect your audience to feel something in regards to that world. That's emotional manipulation - and the only people you've manipulated are those too ignorant of the arts to see through your charade.
Valve Software has been this for years, with Froge blaming the loss of four years of his life to a carefully-plotted business structure on Valve's part to addict him, and others, into playing their games for as long as possible, as detailed in the 21,000 word article The Industrial Steamworks.
You don't understand what addiction can do to you, until you take a step back and realise just how much damage it's done. I'll never get that time back. 3,500 hours could do a lot of good for a person... but I'll never get that time back. Not me. Not anybody else. Because it's gone. And all the money that you spent gonna be gone... That's why it's such a big deal to me. Not because I'm a white knight who wants an easy target. But because it's important to me that nobody follows the same path I did and makes the same mistakes I did. Four years of bullshit... It wasn't worth the weight.
The AlternateHistory.com timeline A More Personal Union has Henri III, the King of France, and his cousin Ferdinand of Uceda, the Prince of Spain. They have an utter hatred of each other starting from facing off on the battlefield in the Second Franco-Spanish War, which only grows over time.