I bought my Accord new in 1990. The only major problem that I had was my own fault - the timing belt broke because I did not follow the scheduled maintenance. Unfortunately, it cost about $1600 to fix, but that's the only significant problem that the car has ever had. It's protected my wife in two fairly serious accidents, even without airbags. It's been all over the US and treated us great! Every time we think about selling it, we just can't come up with a compelling reason - maybe it will just last forever!
Cold, cold, COLD air conditioning.
The auto transmission kind of sucks the performance out of it.