One problem related to anti-theft controller has been reported for the 2005 Honda Odyssey. The most recently reported issues are listed below. Please also check out the statistics and reliability analysis of the 2005 Honda Odyssey based on all problems reported for the 2005 Odyssey.
Complaint - air bags & security alarm system takata recall. My Honda van has the airbag warning light intermittently on. Most days, it is not lit, but for instance, driving today, I got the light. Van has never been in an accident and is still the original factory installed equipment. Airbags don't fail unless it is faulty manufacturer such as part of takata recall. Honda van recall is limited to 2004 but I think 2005 can also be affected. Also anti theft security system is out of control and any time is activated.