If you mean in a career, nobody has remotely approached it. His .366 LIFETIME batting average has been bested for ONE YEAR in either league only twelve times in the last fifty years.
Cobb never held the record for highest batting average in a season. It was set by Hugh Duffy at .440 in 1894, and it is inconceivable to me that it will ever be broken.
Joe Mauer of the 2009 Minnesota Twins set the record for highest batting average by a catcher with .365. He broke the record held jointly by Bill Dickey of the 1936 New York Yankees and Mike Piazza of the 1997 Los Angeles Dodgers at .362. Joe Mauer broke another Joe's record. Joe Torre batted .363 in 1971 enroute to winning the M.V.P. Not Mike Piazza's .362.
In 1927. Babe Ruth set the record for most home runs in a season with 60. He broke his own record of 59.
Barry Bonds
Her first record was the highest altitude for women . This was in 1921 in her 'Canary'.
Sachin Tendulkar Broke Brian Lara's Record of highest runs 11953 & has currently scored 12917+* Runs.
When Bob Beamon broke hte world record, he was 1.5 fett above the ground.
Vijay Malaya.
He broke his own 100m record, the 200m record of Michael Johnson and the 4x100mR record of the USA.
UT's Ricky Williams broke the record (although he does not hold the current record).
Anil Kumble broke Kapil Dev's record of 434 wickets in test cricket. Kumble ended his test career with 619 wickets, making him the highest wicket-taker for India in test matches.
Lionel broke the country record in scoring the perfect goal at the soccer match
The world's highest back flip was done by Doug Williams and Judah Teista when they did tandem back flips on a from a 12-feet platform. They had set an initial record of 8 feet which they broke.