Two problems related to transmission not go into gear have been reported for the 1996 Honda Accord. The most recently reported issues are listed below.
One day just like that I was driving home from work and I came to a red light so after coming to a complete stop the light turned green my car was on in drive and I accelerated and the car just wouldn't move. Got it towed and I got check engine light codes and it was p0401 and p0108 so I cleaned the egr valve and bought a new map sensor and installed it. The car had a new battery, the transmission oil was full and with no visible black color or smell, the car started but would not get into gear and just wouldn't move. Called a specialist mechanic and he brought his tool to check the whole computer part of the car wich is the next best thing to towing it to a transmission shop, the result came back inconclusive with almost certain transmission failure. After corona a lost of vehicle and job I am judt about to sell it as is cut my losses and maybe buy a bicycle for now. I just need to leave about one hour before work and buy a good axe body shower spray and attach life ones again.
Starting in sept. Of 2001 my vehicle would not change from 3rd to 4th gear. The engine light came on, took it to a local mechanic. After checking it with his computer he found no problem, reset the check engine light. He researched the vehicle and told me that Honda was having problems with transmissions when it was humid!?!?! so I thought that I would see if it continued to do this when it cooled off. It has and it has gotten to the point that every morning it will not change gears until I have driven approximately 1/2 mile, stop and go again. Even then sometimes it doesn't change.