I had an '02 Civic, but the wife of the mechanic that I used had an '05 Civic. When my '02 Civic hit 190K, the head gasket failed because the head became warped over time. When I talked to the mechanic about it, he said that it was common problem, and that his wife's car's gasket failed as well. This is a fairly expensive repair as the head has to be sent out to be machined flat again. When I asked him what he did, he said that he traded it in. Up until that point, my Civic had been nearly completely reliable with only three major problems (a faulty TDC sensor, a failed catalytic converter, and radiator that had to be replaced). We had more problems out of the '02 Accord in comparison (transmission issues, a new starter, a rattle in the catalytic converter, and finally a crack in the engine block where the coolant entered it).
James