Quickfire goals from Andrew Edwards, Nathan Parker and Simon Houlder gave Cliffe a 3-1 half-time lead. They added an Ian Beckram penalty and a Chris Jackson strike, while Danny Penrose netted twice for Fulford.
Two well-taken Scott Pallister efforts were enough to give Rawcliffe a 2-1 victory at Wilberfoss, for whom Jonathan Parkin hit the target.
Stuart Barker (2) and Liam Booth scored for Barmby Moor but were on the losing side as Heslington edged to a 4-3 win.
Andrew Lee, Alex Sutherland, John Pipes and Andy Gray netted for the away side.
In division three, title-chasing Sporting Knavesmire beat York Acorn 6-3. Alex Dale, Andy Simpson, Jake Duckworth and Luke Hutchinson all bagged to add to two spectacular free-kicks struck by Ryan Gothard.
Lee Jacob (2) and Sam Lingard grabbed the Acorn goals.
Stamford Bridge won 4-0 at Tadcaster Town with goals from Kalum Horne, Kieran Flanagan, Tom Long and John Cavanagh.
Rufforth beat Civil Service 4-2 with goals by Daniel Witcombe (2), Steven Gagen and Joe Bootland. Lloyd Crawford and Chris Smith were Service’s scorers.
Bishop Wilton won 5-2 at home to Selby Olympia thanks to Tom Knowles (2), Rob Eeles (2) and Alex Nattrass.