What you're expierencing is a pretty commong problem in generation 2 Integra's. I've been having the problem myself for the last few months and it's a real pain in the rear. From what I've been told, it's a gear position switch that may be the issue. The cheapest solution is to get a spare key made and use that. I tried that and it didn't seem to make any difference. The Acura dealer will charge $50-60 for the switch. I originally thought letting the car warm up for awhile would help it, it really hasn't. My current solution is leaving the spare key in the ignition and put any security devices on (The CLUB, alarm etc.). I get too fristrated after sitting there for a good 10 minutes playing with the key.