Here is a set of tables listing all official World Champions to date.

Undisputed World Champions (1886-1993; 2006-present)
1886*-1894	Wilhelm Steinitz
1894-1921	Emanuel Lasker
1921-1927	José Raúl Capablanca
1927-1935 1937-1946	Alexander Alekhine
1935-1937	Max Euwe
1948-1957 1958-1960 1961-1963	Mikhail Botvinnik
1957-1958	Vasily Smyslov
1960-1961	Mikhail Tal
1963-1969	Tigran Petrosian
1969-1972	Boris Spassky
1972-1975	Robert Fischer
1975-1985	Anatoly Karpov
1985-1993	Garry Kasparov
2006-2007	Vladimir Kramnik
2007-2013	Vishwanathan Anand
2013-	Magnus Carlsen

* Unofficially since 1866; officially since 1886.

Between 1993, the World Championship was split when Garry Kasparov complained about FIDE's lack of professionalism, and set up a rival championship as a result. The World Championship was re-unified in 2006 through a match between the two champions.

FIDE World Champions (1993-2006)
1993-1999	Anatoly Karpov
1999-2000	Alexander Khalifman
2000-2001	Vishwanathan Anand
2001-2002	Janis Klovans
2002-2004	Ruslan Ponomariov
2004-2005	Rustam Kasimdzhanov
2005-2006	Veselin Topalov

Classical World Champions (1993-2006)
1993-2000	Gary Kasparov
2000-2006	Vladimir Kramnik