Have you tried Readly.com? They always offer a one month free trial.
£12.99 per month (a week & a half of buying a paper Daily Mail?) gives you access to many daily papers (but not Daily Mail!) including The Independent, Observer, Mirror, Express, Star, Sun, Guardian, Daily Record, and countless local papers like Western Mail, Birmingham Mail, Coventry Telegraph, Stoke Sentinal, Burton Mail, Derby Telegraph, Leicester Telegraph, Nottingham Post, etc.
Alternatively ask at your local library, who offer FREE access to similar newspaper/magazine download sites, Pressreader for example
You're bound to find something in the many choices to suit your taste
A screenshot from Friday's Teeside Gazette ...