What weight can my 1995 Honda Odyssey tow with an

1500-2000 lbs any more than that and you will need heavier suspension and a heavier tranny cooler make sure that the tounge is atleast 10% of the total weight of the load or you will be pushed off the road by the trailer the brakes will handle more than the car will if the tounge weight is sufficent and the load is as eaven as possible i towed a 24ft party barge with a 97 civic and the only problem i had was seeing cars beside me and behind me i almost bought mirror extensions

According to NRMA Car Review - Honda Odyssey 1995
1200 kg
You would probably want to put a transmission cooler in to tow that sort of load though.