Edited to caveat: of course, if you ask an American what foreign newspaper they read, most of the time we will say none. But if we do, it's probably the Guardian.
The BBC used to deride Sky for being "never wrong for long", but the race to "break the news" changed that. If the news is about something that happened today it's barely worth looking at.
Personally I get my general news from "The Week" magazine each week, which occupies half an hour on a Saturday morning. It has a selection of articles from across the UK and international press, cut down to give an idea. This week I see ones from The Observer, the Financial Times, The Sunday Times and the Spectator. There's a coverage of america, with input from the NYT, Washington Post, National Review, New Republic, Bulwark and Politico. Elsewhere coverage of Cuba includes stuff from Global and Mail in Toronto, Diaro de Cuba and El Salto in Madrid and 14YMedio in Havana.