All credit goes to ProgressCityPublicTV, PeppardB's VHS Rewind, and Sean Mc for this. I found the original broadcast of this special, without commercials, of course, so I decided to piece it together with the original commercial breaks.
Mickey's 60th birthday show is being taped and as his appearance in the show draws to a close, Mickey finds himself trying to decide how he should present himself to his audience. Rummaging through an old trunk, he finds the magic hat from The Sorcerer's Apprentice segment of Fantasia and considers using it, but he is warned by the sorcerer who owns the hat (who is not Yen Sid) that he should not be using other people's magic when he has his own, which Mickey initially doesn't understand. With that in mind, Mickey goes out on stage along with his birthday cake, provided by Roger Rabbit, who realizes too late that he placed a stick of dynamite on the cake instead of a candle. In his attempt to put the dynamite out, Roger ends up destroying the set, which prompts Mickey to use the magic from the hat to repair the damage. The audience screams for more and Mickey agrees to do so, but when he does, he suddenly vanishes.
The sorcerer, annoyed that Mickey disobeyed his warning, decides to teach the Mouse how to find his own kind of magic by casting a spell on him in which anyone he runs into fails to recognize him as Mickey Mouse. The Mouse is then returned to the real world, where he's found by Andy Keaton of Family Ties, who mistakenly believes him to be a good impression of the real thing. Andy shows Mickey off to Mallory and Jennifer, but when they're not convinced, even Andy turns him down. Dejected, Mickey goes to the bar from Cheers, only to realize that he has no money to buy himself a drink. He then sings" Happy Birthday" to Rebecca Howe, cheering her up so much that she takes him out to dinner and a movie.
Meanwhile, The Walt Disney Company organizes a search party to find the missing Mickey, which was reported on a local news show. In the process, the reporters begin to suspect Donald Duck after being told of how upset he was that he wasn't going to appear in Mickey's special. Their suspicions go even further when they find old footage of Donald doing his own version of The Mickey Mouse Club theme song and Donald is soon arrested after he tries (unsuccessfully) to testify his innocence (he claimed that the kidnapper was either Minnie Mouse, "the guy who framed Roger Rabbit", the Wicked Witch or Porky Pig). Donald is to be represented by the legal firm of McKenzie, Brackman, Chaney and Kuzak. As they continue with their reports on the search, the reporters show various clip montages of Mickey and various tributes people were putting out to him.
As the special nears its end, Mickey returns to Disneyland, where a custodian (Cheech Marin) mopes over the fact that he can't see any point in his profession if the guest of honor isn't going to show up for his own birthday party. Phylicia Rashad then sings a song called "It's Magic" with Mickey accompanying the ensuing song-and-dance number. At this point, the sorcerer reappears and congratulates Mickey now that he's finally found his own magic inside him and thus breaks the spell. Just as the sorcerer exits, Roger rushes up to Mickey and instantly recognizes him. The news of Roger having "found" Mickey is brought to the news and the innocent Donald is released from jail just in time to join Mickey's birthday celebration at Disneyland.