The Indian tribes who are most accurately associated with these things are the Indians of the Great Plains. These are tribes like the Sioux, the Blackfeet, and the Mandan.
Of course, this vision of these tribes is something that only came about after Europeans came to the Americas. There were no horses in the Americas before European contact. Therefore, the Plains Indians did not have the same horse-centered economy and culture that they did by the time that the Americans came in contact with them in the early 1800s.
By that time, the Plains Indians were expert horsemen who lived a nomadic lifestyle predicated on the use of buffalo.