I have been keeping a list of dead people since 1993, and I only put on those who I consider subjectively to be important enough - so I often do not include people who I have not heard of, or only vaguely. My 2000 list has the following:
05 Jan Sir Bernard Braine
15 Jan Zeljko Raznatovic, alias Arkan
19 Jan Bettino Craxi
19 Jan Hedy Lamarr
26 Jan Willie Hamilton
13 Feb Charles Schultz
23 Feb Sir Stanley Matthews
23 Feb Ernest Lough
24 Feb Michael Colvin MP
27 Mar Ian Dury
04 Apr Charlie Kray
08 Apr Bernie Grant MP
10 Apr Peter Jones
27 Apr Clifford Forsythe MP
07 May Douglas Fairbanks Jnr
17 May Donald Coggan
21 May Barbara Cartland
22 May Sir John Gielgud
10 Jun Hafez al-Assad
16 Jun Dowager Empress Nagako of Japan
24 Jun David Tomlinson
28 Jun Jane Birdwood
29 Jun John Aspinall
01 Jul Walter Matthau
12 Jul Robert Runcie
06 Aug Sir Alec Guinness
07 Aug Sir Robin Day
04 Sep Audrey Wise MP
06 Sep Desmond Wilcox
10 Sep Julian Critchley
13 Sep Gary Olsen
17 Sep Paula Yates
28 Sep Pierre Trudeau
01 Oct Reggie Kray
10 Oct Sirimavo Bandaranaike
11 Oct Donald Dewar MP MSP
16 Nov Russ Conway
21 Nov Emil Zatopek
27 Nov Malcolm Bradbury
05 Dec Colin Cowdrey
13 Dec Ndabaningi Sithole
22 Dec Viktor Borge
I have bolded the ones which overlap with spainlads's list.
You may find www.deadoraliveinfo.com useful (it has a search thing which you can use with specified dates), although that is heavily biased to American people.