Several folks have suggested Big Game Alaska. My wife and I thoroughly enjoyed it and thought it was one of the highlights of
the Seward to Anchorage trip. They let children bottle feed some baby moose. You are close enough to touch baby deer, moose, elk, bison, caribou, and Sitka Deer. They have a baby porcupine, baby grisly bear, an eagle, and owls. You can stroll through the park/reserve or drive through it. Although we too enjoy seeing animals in the wild, this was a treat to see so many animals this close up. For $5/person, it's a bargain. We give it a hardy 2 thumbs up.
Note: The park rehabilitates/keeps these animals because they are damaged and cannot survive in the wild anymore.