19 Premier League Titles. 3 Champions League Titles. Chelsea is better.
Chelsea have failed to win a champion league in their history.
Chelsea have won four premier league titles, two second division titles, seven FA cups, four community shields, and one UEFA champions league titles.
Liverpool have won: 5 Champions league titles , 3 Uefa cup titles and 2 European super cup titles.
Real Madrid with 9 Champions League Titles
Arsenal has 13 league titles and Arsenal has 4 league titles.
Chelsea have won three Premier League titles in 2004,2005 and 2010
Real Madrid has won the most Champions League titles (including European Cup).
Manchester United has won the Champions League on two occasions - in 1999 and 2008. They have also won the European Cup (the predecessor to the Champions League) in 1968.
There is no comparison. Liverpool have won 18 League titles and 5 European Cups. Chelsea's total can be counted on one hand.