If all the feature classes reside in the same Feature Dataset, they can be done en masse. (coincidentally, I'm actually doing this exact process at this very moment).
Go into Editing Mode, then on the Spatial Adjustment Toolbar click on the word Spatial Adjustment, then click Set Adjust Data...
Then change the radio button to "All features in these layers" and put a check in the boxes on the layers you want to Adjust.
Then proceed with the rest of the spatial adjustment process.
Chris Donohue, GISP