Going back to the topic of buses that don't run on Sundays meaning in most cases you get left with no services for three out of the four days of the Easter Holidays in some places, the following independent operators are running these timetables today:

Dales & District.
29 – Normal timetable
34 – Normal Timetable
54 – Normal Timetable
55 – Normal Timetable
70 – 07.25 from Ripon and 17.25 from Northallerton running only
72 – Saturday Timetable
856 – Normal Timetable (This service runs Sunday's only normally and is part of the Dalesbus network)
159 – Amended Timetable
Ripon, 138, 139 – Saturday Service

Hodgsons Coaches.
Saw a post on their Facebook saying that they were running a full service on the 79 today between Barnard Castle and Richmond.

The Eden.
I'm told that apparently The Eden are running a limited service on the Bishop Auckland Asda Free Bus service today, between around 10:30 and 14:45.

Scarlet Band.
Service 20 which serves Bishopton, Sadberge and Neasham will be running today as the 20 only operates on Monday's so the service runs on Bank Holiday Monday's.