Yes, so far in the game I think there are like 16 such actions
I think the response that requires the most obedience is the 'worshipful' reaction to you cumming on her face while she's asleep. I think that requires around 75 obedience (but I don't expect anyone to attempt it, just use the console command 'set_attribute_level obedience 100' if you want to see all the responses)