Bear Necessities

Bear Necessities is an unmarked quest in Fallout: New Vegas.

Detailed walkthrough
Talk to Lindsay, a Mini Boomer at Nellis Air Force Base, and she will ask the Courier to help find her missing teddy bear. In the hangar where Loyal and Jack work, there will be a large circle of crates in the middle of the room. Walk around these and look through between them until you find Mister Cuddles.

Take the bear back to Lindsay in the children's barracks or schoolhouse and speak to her. The player character can lie to her, claiming the bear is dead or give her the bear to end the quest. Lying will result in Boomers Infamy and loss of Karma.

Behind the scenes
The name of the quest "Bear Necessities" is a reference to the Disney song, "The Bare Necessities," performed in the film The Jungle Book.

Bugs
Even after you have given Mister Cuddles to her, she still will greet you asking if you have found the bear; this allows you to complete the mission both ways so you can get the experience and not lose/gain any fame.