For our service requests and some incidents, we used to spawn off a collection of child tickets for the tasks for items such as new employees (add to AD, add to maps, add to staff directory, etc), and those could be assigned to people.
I'm aware of the functionality of tasks in Freshservice, but it doesn't quite meet the mark because tasks do not show anywhere except the dashboard and the calendar, and we want them to be in their ticket queue instead.

