Here's a list of the batsmen rated Number 1 by the ICC Ratings as at the 1st January of each year: (Thought I would make myself useful while I watched the game)
1878-80 Bannerman, C Aus
1881-82 Grace, W.G Eng
1883-84 Ulyett, G Eng
1885-86 Steel, A.G Eng
1887-90 Shrewsbury, A Eng
1891-92 Grace, W.G Eng
1893-94 Lyons, J.J Aus
1895 ....Stoddart, A.E Eng
1896 ....Grace, W.G Eng
1897 ....Lyons, J.J Aus
1898 ....Iredale, F.A Aus
1899 ....Darling, J Aus
1900-01 Hayward, T.W Eng
1902-05 Hill,C Aus
1906 ....Jackson, Hon.F,S Eng
1907 ....Hill,C Aus
1908 ....Trumper, V.T Aus
1909-10 Hill,C Aus
1911 ....Hobbs, Sir J.B Eng
1912 ....Faulkner, G.A SA
1913-23 Hobbs, Sir J.B Eng
1924 ....Taylor, H.W SA
1925-28 Hobbs, Sir J.B Eng
1929-31 Sutcliffe, H Eng
1932 ....Bradman, D.G Aus
1933 ....Sutcliffe, H Eng
1934-48 Bradman, D.G Aus
1949 ....Compton, D.C.S Eng
1950 ....Nourse, A.D SA
1951-54 Hutton, L Eng
1955 ....Harvey, R.N Aus
1956 ....Walcott, C.L WI
1957-60 May, P.B.H Eng
1961-65 Sobers, G.S WI
1966 ....Barrington, K.F Eng
1967-69 Sobers, G.S WI
1970-71 Walters, K.D Aus
1972-74 Sobers, G.S WI
1975 ....Turner, G.M NZ
1976 ....Kallicharran WI
1977-78 Richards, I.V.A WI
1979-80 Gavaskar, S.M I
1981-83 Richards, I.V.A WI
1984 ....Lloyd, C.H WI
1985-86 Border, A.R Aus
1987 ....Richards, I.V.A WI
1988 ....Vengsarkar, D.B I
1989 ....Miandad, Javed Pak
1990-91 Richardson, R.B WI
1992-94 Gooch, G.A Eng
1995 ....Tendulkar, S I
1996 ....Lara, B.C WI
1997-98 Waugh, S.R Aus
1999 ....Tendulkar, S I
2000 ....Lara, B.C WI
2001 ....Tendulkar, S I
2002 ....Lara, B.C WI
2003 ....Hayden, M.L Aus
2004 ....Ponting, R.T Aus
2005 ....Dravid, R I
2006-07 Ponting, R.T Aus