TV & radio guide - New Year's Eve

5 Live Report (12 noon R5). "No Room at the Infirmary". Can the NHS cope this winter?
Sounds American (12.15 R3). What makes (North) American music sound American?
Two Thousand Years (12.30 ITV). The fourth century AD.
Locations (1.30 BBC2). Sarah Miles returns to the Irish locations of Ryan's Daughter , which seems to have had a lasting impact on the area.
2001: Heaven and HAL (4.00 R4). Is HAL, the murderous but oddly lovable computer in 2001: A Space Odyssey , likely to become reality? Nick Baker investigates, with the help of Kevin Warwick and others. (NB: from Monday,10.45, R4’s Book at Bedtime is 2001: A Space Odyssey ).
» Bach Year (4.45 R3) In Leipzig and Dresden, Joshua Rifkin describes JSB’s final years.
» Sunday Feature : Art Isn’t Easy (5.45 R3). Stephen Sondheim (also in Desert Island Discs, 11.15 am R4) talks to Jeremy Sams about what’s important to him.
David Copperfield (6.45 and 8.30 BBC1). Re-run Dickens adaptation, from last Christmas.
» Sunday Play : Shakespeare's Fools (7.30 R3). Extracts from the plays, with the Nimmo Twins, Joss Ackland, Sylvester McCoy, Sylvestra Le Touzel et al ., in front of an audience at Wilton’s Music Hall, London.
» Castaway 2000 (10.35 BBC1). Possibly the final appearance of the Taransay videotapers?