There are plenty of reservations, or do mean like "historical" reservations with wigwams and stuff?
My OH has asked me to post a query - she is interested in 'indian reservations'. She wondered if there were any 'working' reservations - which tourists are able to visit - & if so - where are they and which ones would you recommend?
I don't know about "wigwams and stuff," because most plains-dwelling Amerinds now live in homes, stick-built or manufactured, just like the rest of us.
However, in the great Southwest, mainly in New Mexico, lots of Pueblos are still inhabited, just as they have been for the past 500 or 600 years. You could visit most of them, if you were staying in Taos or Santa Fe. There are ancient petroglyphs near Albuquerque.
The Navajos still live nomadic, sheep-herding lives, and some still live in traditional hogans (stick-built huts). The Apaches, however, are now quite civilized.
In the Northwest, especially in Alaska's southern "panhandle" and in Canada's western islands, the seagoing Amerinds still build longhouses, although they no longer live in them, and still make totem poles, and one-log canoes that seat 20-to-30 warriors.
In the Northeast, and in northeastern Canada, the Iroquois nations live just as we do. However, the Mohigans (as in: Mohicans, Last of the) maintain a cultural center and museum, which I believe is in north-central New York State.
The US contains lots of Indian Reservations, but hardly any wigwams.
I recommend Cherokee N.C. they have the historical displays and the tourist stuff also.
The Mohegans are in a southeastern Connecticut reservation, not in New York.
It's mostly a casino, of course; but there's supposed to be a pretty good "living display" museum, too.
Click on: http://www.mohegansun.com/gateway/index.html
Thank you to all who have replied - lots of useful information which should keep the oh occupied on the internet for some time.