On my flight from LHR to SFO on Wednesday the steward was passing around the choice of the Daily Mail and the Independent. (I was in the small World Traveller Plus section that only had about 40 seats) and the majority of people offered chose the Daily Mail. When he got to me, he asked me which one I would like and I asked him which one was better. He said "Do you want more trashy or less trashy?" I said "Less trashy" and he handed me the Independent, but it looks as though the majority of people chose the Mail.
At the gate, before boarding the bus to take us to our plane at Terminal 5, there was a selection of papers like The FT that you can take. I left from one of the A gates and they are located on a stand after you pass through check in and are walking outside to catch the bus.