Okay I tried to post this 3 days ago but it disappeared up its own ********.
Ilkley Moor Baht 'at may be a good anthem for Ilkley or perhaps even the West Riding at a pinch, but it certainly doesn't represent anything to us North, East and South Riding folk. Yorkshire is a large and diverse county from Saddleworth to Middlesborough and all points south and east. A decent all-encompassing anthem is certainly long overdue. Peregrina and I were discussing something like Woody Guthrie's 'This Land is my Land' in the car yesterday on the way to a meeting.
The nearest thing I know to a Yorkshire anthem was originally adopted by the East Riding. It is a music hall song called originally 'My Pretty Yorkshire Lass'. It dates from the 1870s and was written by George Leybourne. As The Bonny Yorkshire Lass it is now used by various Yorkshire regiments as their march past.
I suppose there's always 'My Girl's a Yorkshire Girl'

If you are just looking for place anthems, I'm sure there has been a thread on this before because lots of Yorkshire towns have their own anthems.