"I think and shares the Independent's political stance (i.e. slightly centre-left)."
The Independent is supposed to be non-party political.
I read the Times most often, closely followed by the Independent and Guardian, which I conside the best newspaper by some way, but I haven't time to do it justice often enough sadly. I'd also read the Daily Telegraph at a pinch, as although I don't agree with its politics it's a serious paper and a good read. The FT is full of financial stuff I don't understand (and is far too expensive).
I also read the Morning Star very occasionally for an alternative view. Some of the stuff in it is nonsense, but it does have some good things occasionally.
On Sundays - when I bother - the Observer. I hate the Sunday Times with a passion: not sure why - I think one reason is its bulk(!).
The Mail on Sunday is not the worst either, although I despise the "politics" of the Mail newspapers generally.
I rarely bother with online versions of papers, being rather old-fashioned.
Any paper will do me, I suppose, if it's intelligent, regardless of its politics. I'm afraid anything with a metaphorical red top gets ignored