Here's one, just based on memory. Um, spoilers abound.
Golden child Elder Price and the schlubby Elder Cunningham have just finished Mormon missionary training. They get paired up and are shipped out to join the mission in a remote part of Uganda. However, Cunningham has a lying problem and has not read the Book of Mormon. Elder Price believes this is his ticket to salvation, while Cunningham plans on just supporting Elder Price in his work. They arrive in Uganda and are promptly held at gunpoint by a warlord's thugs and have their belongings stolen. They're greeted by Mafala Hatimbi and his sweet, idealistic daughter Nabalungi, and share their less-than-holy, not-quite-hakuna-matata philosophy and show how Price has a long way to go to start converting people.
Price and Cunningham meet the ineffective and emotionally repressed missionaries already in the region, led by the deeply repressed homosexual Elder McKinley, who have had no baptisms in the several months they have been there- and worse, the Mission President wishes to have a progress report and check-in soon. Price tells the over-eager and obnoxious Cunningham to just support him, and pitches the story of Joseph Smith and the origins of the church to the Ugandan villagers. They are dubious at best, but the idea of a paradise called Salt Lake City resonates with Nabalungi.
Price and Cunningham witness the barbaric warlord General demand all of the village women be circumcised, and then execute a dissenting villager. Price has his faith shaken severely, and is sick of Cunningham's ineptitude and walks out. However, Nabalungi approaches Cunningham and says that the villagers are ready to hear their ideas once more. Cunningham decides to seize the opportunity and "man up". There's a rousing Act 1 Finale.
At the top of act 2, we see that Cunningham is beginning to lie in order to get the Ugandans to buy into the Mormon teachings. He peppers the story of Joseph Smith with references to Star Wars, Lord of the Rings, and Star Trek, as well as references to AIDS and other African plights. The Ugandans are responsive, but Cunningham is faced by his conscience.
Elder Price, however, has a spooky Mormon hell dream and decides to return to the mission. He finds Cunningham's success deeply shaking, and vows to one-up him by converting the warlord General. While singing of his convictions, he goes- and has the Book of Mormon shoved up his ass.
Meanwhile, Nabalungi tells Cunningham she wishes to be baptized and become a full-fledged Mormon. Price, however, has had a coffee binge (coffee being banned by the teachings of the church), and is doubting the existence of God in the face of everything he's experienced and in Cunningham's success. But the Mission President is arriving, and Cunningham demands Price at least act professional.
The Mission President arrives, and the Ugandans wish to present to him a performance of the story of Joseph Smith. They do... and it's... well, let's just say it's inaccurate. The Mission President is furious and disbands the mission in the region. Nabalungi likewise is furious, feeling that everything is a lie. However, the Ugandan villagers chide her for believing everything to be literal- after all, the story of Joseph Smith and the idea of Salt Lake City was clearly metaphorical.
Cunningham is distraught, but Price comforts him- Price finds that Cunningham's alterations to the Mormon teachings brilliant and really helped the Ugandans. Everything seems fine- except one issue: the General has arrived to made good on his threat. Cunningham and Price thwart him with pseudo-religious/nerd culture babble. The disbanded mission's former missionaries begin to take their leave- but Price stops them and convinces them that they can still stay and help. Everyone rejoices- and soon, the Ugandans are spreading the word, door-to-door.
"...everyone finally shut up, and the audience could enjoy the beginning of the Anatevka Pogram in peace."