The B5333 was a short link road in Wallasey. It was originally unclassified but appears to have gained its number by 1932.
Starting at the A5027/A5028 crossroads the road headed north along Oxton Road, Woodstock Road and Torrington Road from the A5028 / A5027 crossroads north to end on the B5142 Wallasey Road. Whilst the mapping evidence is not very clear, it would appear that it was initially cut back to just Torrington Road with the re-routing of neighbouring roads, before the remaining section was declassified. The southern section of Woodstock and Oxton Roads is now part of the A5027.