There were a lot of examples on the page that didn't fit the trope description. Here they are, collected by what trope the example's author apparently thought this was:
"The director wanted an actor, who they couldn't get, but in the end they could":
The Genie in Aladdin was written with Robin Williams in mind. When met with resistance, the writers created a reel of his stand-up to animation of the Genie.
Michael J. Fox was always Robert Zemeckis' and Bob Gale's top choice to play Marty McFly, based on his performance on Family Ties. Fox was initially unavailable due to his commitments on Family Ties, so they briefly went with Eric Stoltz; when they determined that Stoltz wasn't right for the role, they dismissed him (turning him into The Other Marty) and were able to get Fox.
Frank Lupo and Stephen J. Cannell wrote the role of Face with Dirk Benedict in mind, but NBC insisted that the part should be played by another actor, hence why he's played by Tim Dunigan in the pilot.
The role of B. A. Baracus was written specifically for Mr. T.
Alyssa Milano was was the producers' first choice for the role of Phoebe, but the network forced them to cast Lori Rom for the pilot. When the series was picked up Rom dropped out, allowing the producers to cast Milano after all.
When the crew decided to create a fourth sister rather than recast Prue, their only choice for Paige was Rose McGowan. Holly Marie Combs confirmed on Twitter that Rose didn't have to audition because they were that determined to cast her.
The writers of Portal 2 wrote Wheatley's character specifically with Stephen Merchant in mind, but they never expected to actually land him for the role. It wasn't until after the actor they first cast backed out that they decided to contact Merchant, just for the hell of it, and, lo and behold, he said yes.
"A character was created for a specific actor":
One Piece creator Eiichiro Oda was so fascinated by Kazuki Yao's portrayal of the Jango and Bon Clay / Mr 2 characters that he specifically created the character Franky, the crew carpenter, to make Yao a permanent character in the voice cast.
Escape from New York director John Carpenter always had Kurt Russell in mind for Snake Plissken. At the time, Russell was trying to overcome the "lightweight" screen image conveyed by his roles in several Disney comedies.
Certain guys would have played Ferris and you would have thought, "Where's my wallet?" I had to have that look; that charm had to come through. Jimmy Stewart could have played Ferris at 15...I needed Matthew.
Right from the beginning of production of Lost in Translation, Sofia Coppola envisioned Bill Murray playing Bob Harris, wanting to show off "his more sensitive side" and feeling amused by the image of him dressed in a kimono. She described her mental pictures of Murray as a significant source of inspiration for the story. She later stated that she couldn't have made the film without him.
The role of Lydia Tár in Tár was written with Cate Blanchett in mind, and writer-director Todd Field has said that the film would've never seen the light of day had she said no.
The creators of Brooklyn Nine-Nine said that they wrote the role of Terry Jeffords with Terry Crews in mind to the point they named the character "Terry", so he'd have to accept it.
On Everything's Gonna Be Okay, the role of Drea Stevens was created specifically for actress Lillian Carrier, as she had originally auditioned for the role of Matilda Moss but lost out to Kayla Cromer.
In the Japanese horror-comedy series Ghost Negotiator Tenma, the creator specifically cast J-pop idol and actor Tsuyoshi Domoto to play the titular character after working with him in another show and finding out Domoto was terrified of ghosts.
Jonathan Pryce starred played the lead role in Trevor Griffiths' play Comedians, a part that was written especially for him. He reprised the role in two television adaptations, one of which was Play for Today.
Avatar: The Last Airbender: The creators reportedly asked the casting director for a "Jason Isaacs type" to voice-act the villainous Admiral Zhao (who was based on Isaacs' character in The Patriot). The casting director got them the real thing.
Gravity Falls: Kristen Schaal was always intended to voice Mabel, to the point that Alex Hirsch would've scrapped the show entirely if he couldnt get her.
Steven's parents were designed with the intent of being voiced by Tom Scharpling and Susan Egan, respectively, to the point Steven's father Greg was originally named "Tom".
After failing an audition for Garnet, Erica Luttrell was later cast as Sapphire because Rebecca Sugar still wanted to work with her.
"A director wanted a specific actor due to their previous work":
James Earl Jones was cast Mufasa in The Lion King (1994) because the directors wanted him, they found his voice "powerful" and similar to a lion's roar.
John Lasseter always wanted Tom Hanks to voice Woody in Toy Story because he "has the ability to take emotions and make them appealing. Even if the character, like the one in A League of Their Own, is down-and-out and despicable".
Bill Paxton was cast as Pvt. Hudson in Aliens after a chance encounter with James Cameron at Los Angeles International Airport, during which he mentioned he would be interested in a role. The studio supported his casting because of positive feedback for his performance in Weird Science.
She had everything I was looking for: charm, innocence, and talent. She also was very funny. She was absolutely enchanting, and we said, 'That's the girl!'
Bruce Robinson cast Paul McGann as Marwood in Withnail and I after seeing him on the stage. Then he fired him because he felt that his Liverpudlian accent was wrong for the part. He was recast when Robinson couldn't find anyone else.
Steven Moffat cast Matt Smith based on his audition for Sherlock. He originally planned that the Eleventh Doctor would be older, but he felt that Smith perfectly embodied the role. He planned to cast Peter Capaldi, who would succeed Smith.
For Slow Damage, Fuchii Kabura (the director and scenario writer) specifically requested that Yuki Ono be cast as Towa, expressing that only he can pull off Towa's scenes in a certain bad ending, namely Fujieda's.
There were a lot of examples on the page that didn't fit the trope description. Here they are, collected by what trope the example's author apparently thought this was:
"The director wanted an actor, who they couldn't get, but in the end they could":
"A character was created for a specific actor":
"A director wanted a specific actor due to their previous work":