Roy Hodgson's side also cashed in with an 8-0 win over San Marino but that was not enough to keep them from slipping to seventh place, overtaken by Portugal (fifth) and Croatia (fourth).
The top three of Spain, Germany and Argentina remain unchanged.
The Republic of Ireland are the next highest of the home nations, moving up a place to 39th following qualifying draws against Austria and Sweden.
Wales have leapt 22 spots from 71st to 49th, with their 2-1 win in Scotland counting against a defeat by the same scoreline to Croatia.
The Scots, meanwhile, find themselves in 77th position - down 11 - following that defeat and another in Serbia.
The most chastening news, though, is saved for Northern Ireland.
They have slumped to 119th, falling from 98th last month, having lost their only match at home to Israel.
That puts them below the likes of Antigua and Barbuda, Surinam and Tajikistan in the rankings.