My 98 Honda Accord V-6 Coupe with 136K on it will not start if I leave the windows closed on a hot summer day. It turns over like a champ but there is absolutely no ignition. If I open the windows and leave it to cool off (usually overnight) it starts fine the next morning.
The PGM-FI relay, under the dash, is famous for this problem. You could start saving now (about $60) and have one by summer (in the northern hemisphere).