The Frontier is indeed a great place for New Mexican food. I especially recommend the carne adovada (pork stewed in red chile), which is easiest to try as a carne adovada burrito. This is a small burrito made with one of their sublime flour tortillas and is only a few bucks. Every time I go to the Frontier I also order their Huevos Rancheros with chopped green chile. This comes with a few tortillas on the side for scooping up the delicious beans. They also have a half order of this dish hilariously called "Huevos Lite," if you require only one egg.
Another place in Albuquerque for great New Mexican food is Mary and Tito's Cafe in the near North Valley neighborhood. Their red chile is especially good, perhaps covering one of their huge stuffed sopapillas. I often buy their red chile to go, and although their menu is by no means vegetarian-friendly, they do have meatless versions of both red and gren chile. For a few more vegetarian options (and beer and wine), try El Patio near the University, a cute house with, obviously, a great patio.
In Santa Fe, I second Pasqual's for breakfast or dinner. I think the Pink Adobe is only okay, but love their bar (The Dragon Room). Maria's is good, too. For traditional New Mexican a la Mary and Tito's or the Frontier (very casual), the Horseman's Haven is good, and easy to hit on the way in or out of town.
Of course, one of the best ways to sample local indigenous and hispanic foods is to attend a Feast Day at one of the area pueblos. Leave your camera and cellphone at home, bring your sunscreen, and enjoy the dances. You may be invited into a private home to feast, but there are always vendors selling Indian tacos with chile and other specialties if not. Try a Jemez enchilada if you can: a flour tortilla dredged in red chile, quickly fried, then sprinkled with cheese and onions before being folded into a flat, greasy, spicy crepe. For a list of Pueblo feast Days, see this link:
http://www.santaana.org/calendar.htmCheers,
Erin
Mary & Tito's Cafe
Address: 2711 Fourth St. N.W. , Albuquerque, NM, 87107
(Between Menaul and Candelaria NW)
505-344-6266
El Patio De Albuquerque
142 Harvard Dr SE
Albuquerque, NM 87106
(505) 268-4245
Horseman's Haven Cafe
4353 Cerrillos Rd
Santa Fe, NM 87507
(505) 471-5420