The rest of West Yorkshire will run to the special annual Boxing Day timetable of selected routes running every 30 minutes between 9am and 6pm along with Rodger Batley running his Boxing Day freebie, the H11, with permission of Stotts (who supply him with a vehicle).
Meanwhile in South Yorkshire only Sheffield gets buses and trams running to a special boxing day timetable (as per West Yorks) but from 8am until around 6.30pm. Barnsley, Doncaster and Rotherham get nowt at all on Boxing Day, not even Robin Hood.
Up in North Yorkshire, specifically York - they'll have the selected Park and Ride routes running between 9am and 6pm along with the 843. Eleswhere I'm not sure.
Out of Yorkshire and into Lincolnshire, I do recall one year where Stagecoach provided a limited service around Grimsby and Cleethorpes serving both the towns and the local hospital. No idea if they'll be doing that again.
Lincoln itself I don't recall them having anything on Boxing Day.