Are there any airlines that fly a route that has an arrival time earlier than its departure time? Imagine the scenario where an airline flys a short 30 minute route which crosses a timezone going west. They could theoretically leave at 00:15 (local) and arrive at 23:45 local the previous day. I'm wondering if there are any airlines which fly such a route.

P.S. I'm specifically interested in how the airline allows booking such a flight and the UI that is presented, but am leaving this question more general for any flights that do this.

P.P.S. If someone could help with the tags for this question, it'd be much appreciated.
I found such a route for you. KATL (Atlanta) to KHSV (Huntsville, AL) is a 57 minute hop from the Eastern time zone to the Central time zone. It appears how you would expect: