The Times (London) is sort of my default paper during the week. But I also really like the Independent and the Guardian - so I'll often buy two - never three to read on a day to day basis during the week.
I like the Saturday edition of the Guardian- so I buy that every Saturday.
I like the Sunday edition of the Times - so I buy that every Sunday.
I also buy the Times Literary Supplement.
I like the Guardian, because I enjoy their coverage of societal issue - I feel they look at issues more in depth - it's like they'll have a theme and really look at that specific issue from every angle- aside from just reporting any current news or events that have to do with that issue.
I like their coverage of the arts and literature. They have section in which they highlight the best of music, (pop, live, classical) and recomment cd's or shows. They do the same with film, theater, books, etc.
I also like it physical format or layout. I like its size - you can lay in bed and read it without the pages getting all messed up.
I like the Independent because I feel that it presents its coverage a little more honestly and straight forwardly without bowing to mass taste and presenting its prose and commentary with such heavy doses of wit and sarcasm- people trying to be clever - that I find in the Times.
But I do like the Times in terms of breadth of coverage. I feel I get an overall and more mainstream view - which I think is necessary.
In the US - I read my local daily and NY Times Sunday edition.
I also buy and read Rolling Stone.
I don't read news online.