I've owned my 2003 Civic Hybrid for 2 years now and so far its been a great car with only a few minor problems.
Luxurious interior (compared to other non-luxury cars)
Transmission fluid needs changing every 2 years
IMA battery will start to degrade after 7 years
Seats are very stiff, its like sitting on a bench
Overall the car performs well as a daily driver, and if you aren't looking to set Nurburgring lap records you'll be satisfied with its performance. Even though it is less reliable than a standard civic the blue book value is lower, making it a better value when you factor in the better gas mileage.
† Edmunds.com received the highest numerical score in the proprietary J.D. Power 2014 Third-Party Automotive Website Evaluation Study℠. Results based on responses from 3,381 responses, measuring 14 companies and measures third-party automotive website usefulness among new and used vehicle shoppers. Proprietary study results are based on experiences and perceptions of owners surveyed from January 2014. Your experiences may vary. Visit jdpower.com.