One problem related to rear window wiper washer has been reported for the 2006 Honda Civic. The most recently reported issues are listed below. Please also check out the statistics and reliability analysis of the 2006 Honda Civic based on all problems reported for the 2006 Civic.
Driving in rain, windshield wipers on intermittent, and they started running full - not intermittant. Moved wiper switch to full, and back to intermittent, without any change. Moved wiper switch to fast, and back to full and intermittent, and still no change. Turned wipers off, but they kept running while switch was in the off position. Pulled off highway. Moved switch postion back and forth and then back to off. Wipers still kept running. Turned off car, wipers stopped. Waited a few minutes, started car, wipers started up even though switch still in off position. Wipers swept twice, and then froze in the full up position. Turned off car again. Restarted car, was able to get wipers to run intermittent again, but kept them that way for remainder of ride home. Was afraid to change switch position again for fear of complete failure and being stranded far from home in the rain with no wipers. After research, I now see that there is a Honda TSB 07-071 dated Nov 22, 2007 for this issue that supersedes another from oct 19, 2007.