Filters

First Response = Due today (assuming your first response is within a day) or un advanced filters First reponse due date = today 

I can’t think of a way to show the ones the requestor has responded to… 

No, check Ideas I think I saw a post there about it. 

Hi ​@shs_tim.hobson,

Currently, Freshservice does not provide an option to filter a ticket view based on the "State" field, such as "Responded To" or "New." However, you can use the default filters available in the system, such as ticket status, priority, or custom fields, to create custom views.

If filtering specifically by "State" is a requirement, this feature has been identified as a potential enhancement and may be added in a future update.

As Statei s mostly time based, then I would create supervisor rules and workflow rules that imitate the same bhavior to allow you to tag th etickets and filter on state. 

So for example

State = New or Requestor Responded

Workflows

• New Ticket is created - Add A Tag #NewTicket
• Agent Responds - Remove the #NewTicket
• Requestor Responds - Add a tag #RequestorResponded
• Agent Responds - Remove the ##RequestorResponded set Ticket as “Awaiting Customer”

State = Overdue

You would need a supervisor rule for this so it wouldn’t be instant it would be within 60 mins.
Time since First response due is = x hours, hours since Agent responded and Ticket is cyour open State]

• Add Tag = #Overdue
• Add Tag = #Overdue