We found that the best ways to see wildlife are to hang out in the Hayden Valley or Lamar Valley or to get up and out early in the day.
In the Lamar Valley we saw bison, pronghorn, trumpeter swans, sandhill cranes, and coyotes. If you can do so safely, get out of your car and watch the bison for awhile. You can hear their grunts and groans from a long way away.
In the Hayden Valley we saw bison, elk, wolves, and more bison. If you see people out of their cars with scopes, STOP! They are most likely looking at either wolves or grizzly bears.
We also found that being out early (before 10:00 AM) was a good time to see animals. That is when we saw a fox, otters, and deer.