A guy on hondasuv.com had this problem (with a CR-V), and I've seen a
TSB about rust / dryness in the linkage where the shifter cable goes
into the tranny. He removed the cover plate and lubed it all up. I
don't know if you have a similar removable plate. Since that part was
sitting in water, maybe that's all you need. If you live in a cold
climate be sure to use a lube that won't get too stiff in the cold.
One possibility: Have someone check to see if your brake lights come on when
you press the brake pedal before attempting to shift out of Park. If the
lights don't come on and you can't shift out of Park, the problem is a worn
stop lamp switch. This problem is not unusual for this version of Accord.
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