The Daily Telegraph, with a drop of 5.94% in June this year compared to the same month in 2013, and the i, with a 5.5% fall, also came in better than the rest of the market.
Elsewhere, the figures were largely grim. The Financial Times, which is following a digital-first strategy, saw sales fall by 14.68% over the 12 months while The Independent was down 13.08%.
The red-tops, so long the main strugglers, continue their downward march. The Daily Star, lost 75,000 buyers over the year, which represents a decrease of 13.67%, while The Sun was down 9.37%.
The Daily Mirror, down 7.71%, and the Daily Mail, down 7.36%, did somewhat better, while the Daily Express suffered an 8.15% drop.
But the Mirror did have a goodish June after a sluggish five months, registering a very slight increase over its May sale in company with the Telegraph, Independent and Times.
The Sunday nationals remain a blizzard of double-digit minus figures, with the most unpopular titles being the populars.
Year-on-year, and on the six-monthly comparisons, all the red-tops – Sun on Sunday, Sunday Mirror, Sunday People and Daily Star Sunday – registered falls averaging about 11%.
The middle market pair, the Mail on Sunday and Sunday Express, down by 6.68% and 8.28% respectively, appear to be losing about 1.5% of their sales month after month.
Life for the quality end of the Sunday market, with the sole exception of the ailing Independent on Sunday (down more than 10% on the year), is slightly better than for its more raucous tabloid competitors.
The Observer enjoyed its second best year-on-year performance with a slight drop of 2.5% (about 5,300) copies to register a June total of 207,005 copies.
The Sunday Times, still triumphant as the market leader with an average sale in June of 815,759, was down 2.9% on the year, but was 3.4% down on the month.
By contrast, the Sunday Telegraph managed a slight month-on-month rise, but it dropped 3.9% on the year.
A sobering note: in the course of June, the 10 Sunday titles between them sold an average of 6.69m copies. In June 2004, the four red-tops alone sold more than that.
Indeed, that 10-year comparisons reveals that the Sunday market total has dropped from 12,752,933 to 6,697,573, a decrease of 47.5%.