One problem related to transmission failure has been reported for the 2003 Honda CR-V. The most recently reported issues are listed below. Please also check out the statistics and reliability analysis of the 2003 Honda CR-V based on all problems reported for the 2003 CR-V.
Transmission failure at 50,000 miles only. Never expected this from Honda car. Had to get the a new transmission which amounted to around $3,200 and had to rent a car for a week.