2005 Odyssey almost stalls when at a stop

SOURCE: 1996 Honda Accord automatic transmission lay-out?

Hello;
You will probably be ok for a while if you tow it, fix the leak, and change the fluid and filter. Honda makes a pretty tough transmission. Depending on how much destroyed clutch material is in the pan when you change fluid will detrimine how long it will last. Make sure yu use the correct fluid in it. Wish you the best. Hope this helps, and please rate me highly.
Thanks;
Rich
RPM Northwest

SOURCE: Transmission fluid/filter change in 2000 Honda Odyssey

I would not recommend using Dexron III. Honda Odysseys are prone to transmission problems. A drain and fill with Genuine Honda Fluid is Recommended. The drain plug can be removed with a 3/8 ratchet at the bottom of the trans. The fill hole is at the top of the trans. You remove it with a socket on a long extension. The capacity is close to 3 quarts

SOURCE: 1999 honda odyssey-engine stalls while driving-electric is fine-

Maybe the solution
There is a recall on the ignition switch,
My 99 Ody with 120K would suddenly switch off and come back while runing, Take it to dealer and report to Honda, Since out of warranty. The dealer would do the repairs estimated at $100 charge to you.

SOURCE: Do I need to change the transmission fluid in a 2005 Honda Odyssey?

Hello rsl4god.....Yes indeed without doubt... you should change transmission fluid regularly using only original Honda transmission fluid. This is a simple drain & refill job on the Odyssey
.
Heres my take on transmission fluid...Trans fluid is the life blood of your transmission. A quality trans fluid is more important to your trans than a quality oil is to your engine. As heat in the trans goes up, the life of the fluid (and your trans) goes down. Sadly most people ignore the transmission until it breaks.
Hope this answers your question...

SOURCE: I have an internal transmission problem in my 2001 Odyssey.

My wife and I are just resolving this same problem. You need to request a copy of Honda Service Bulletin # 02-062 which is titled "warranty extension: Accord, Odyssey, and Prelude Automatic Transmission. The warranty is for 7 years nine months or 109,000 miles. You are with in both of those aspects. Your dealer should have informed you of this and your transmission is should be completely covered with a replacement that should have an additional 1 year of warranty and 12,000 more miles. I took this issue to Honda America direct and they are in the processing of re-imbursing me for the cost of our transimssion repair.