I don't read a national newspaper. I get my news from the radio and from the BBC news website. I also find the national newspapers too thick - I just hate missing bits out (it just feels wrong and also a waste of money not to completely read someone once you've started) but there is too much to read the whole paper every day.
I do read the weekly newspaper for my town, every week, from cover to cover, and occasionally I read the Worcester daily paper, if the headline catches my eye or there is something particular going on locally that I want to find out more about.
But I guess there are still a lot of you who do read a daily paper, so I'd be interested to know which one, why you choose it, and what you particularly like about it.