From 1854 to 1881 the Mining and Mineral Statistics (R.Hunt, ed) published by the Geological Survey, listed working coal mines throughout the UK. Scans are available on Googlebooks - there was a thread here on Aditnow a couple of years ago publicising this and providing links.
From 1872 to 1881 the Inspectors of Mines also listed working coal mines throughout the UK in their annual reports but runs of this publication are mostly limited to major libraries; online access is available to residents of Wales via National Library of Wales > Athens > Gale > British Parliamentary Papers.
From 1882 publication of the Mining and Mineral Statistics was transferred to the Mines Department and the Inspectors ceased to include lists of working mines in their annual reports. These are also available via NLW.
From 1888 the List of Mines became a separate publication in its own right and continued to be published until 1950 though with gaps during the 1940s. Runs of the List of Mines are limited to major libraries. As the List was not a Parliamentary Paper it is not available via NLW.
For the period that Hunt's Mineral Statistics and the Inspectors of Mines lists overlap, it is best to consult both as there are discrepancies - as returns to Hunt were voluntary and returns to the Mines Inspectorate were compulsory under Mines Acts, generally the Inspectors' lists may be taken to be more accurate.