A service to automatically call the pharmacy and request a refill. (I hate having to call every month)
A service to call a restaurant for you and find out how long the wait is.
A service to make automated collections calls for businesses.
On the other hand, how much would your pharmacist be willing to pay to save his highly paid staff the four hours they spend on the phone every month reminding customers that the prescription they've ordered has been in for a week now? Find a way to solve problems for businesses, not consumers.
I suspect automated collection calls are illegal, or otherwise already exist, but if they're not and they don't, that sounds like a way to make absolute piles of cash from collection agencies (in a slightly ethically dodgy way).
Also at the OP said, any thing that involves communicating with phone + manual work - things businesses are already doing - are opportunities (potentially)