Bear Necessities

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

Detailed walkthrough
Talk to Lindsay, a child Boomer at Nellis Air Force Base, and she will ask you to retrieve her lost teddy bear. Head into the Hangar where Loyal and Jack hang around. There will be a large circle of crates next to the benches near the right entrance. Walk around these and look through the corners until you find Mister Cuddles. Take it back to Lindsay (she could be in one of the living barracks or in the schoolhouse) and speak to her. At this point you have the option to lie and say Mister Cuddles is dead or just give her the bear.

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 Mr. 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.