Just to summarize the feedback I got:
Amsat Droid Free: Got the most recommendations. Does the necessary basics needed for sat operation: pass predictions and real-time tracking data (if you know to tap on a prediction), one satellite at a time. Looks like this is my #1 choice. Has what I need without a bunch of extra stuff, and the price (free) is right.
PocketSat3: I think I used a version of this back in my Palm Pilot days, and liked it. Looks very sophisticated and powerful, but with a learning curve. Not free (free version is fully functional except it won't save anything).
Here are some others that were recommended but that I have not tried: Heavens Above ISS Detector (not just for ISS, despite the name)
For the iDevice crowd, GoSatWatch was recommended.
Thanks to all those that responded.
73, David, ky7dr