The new site is perhaps still a work in progress and response times aren't yet stunning (especially on mobile devices), but here are the links to all league results:
First Team : http://www.englandrugby.com/fixtures-and-results/competitions/midlands-division/2014-2015/group/18245
Second Team: http://www.englandrugby.com/fixtures-and-results/competitions/raging-bull-north-west-leagues/2014-2015/group/18438
Third Team: http://www.englandrugby.com/fixtures-and-results/competitions/raging-bull-north-west-leagues/2014-2015/group/18443
Fourth Team: http://www.englandrugby.com/fixtures-and-results/competitions/raging-bull-north-west-leagues/2014-2015/group/18450
Why not copy and paste into your "Favourites"