Also worth checking:

Past - the newsletter of the Prehistoric Society - published 3 times a year and available free online at www.ucl.ac.uk/prehistoric/index.html;

British Archaeology - bimonthly (I think), edited by Mike Pitts and published by the CBA. Available in some branches of WH Smiths. Back issues free online at www.britarch.ac.uk/ba/ba.html;

Current Archaeology - 6 times a year, subscription only. See www.archaeology.co.uk - also its sibling 'Current World Archaeology'.