The rating is the easy half of the answer. A trailer never weighs its brochure dry weight — water is 8.34 lb a gallon, propane and batteries ride along, and so does your gear — and hundreds of models changed their published weights mid-run, so the model year decides as much as the model. Judged that way, with a 10% margin and 2 people aboard: 236 of 5150 campers fit a Honda Odyssey, and 6 more fit if you buy the right years.
1603 fifth wheels are excluded outright: a fifth-wheel hitch mounts in a pickup bed, and the Honda Odyssey has none — at any rating.
Loaded estimate: dry weight + full fresh tank + propane, battery and gear for 2. Headroom is against the rating less 10%.
FIT — IF YOU BUY THE RIGHT YEARS
These changed their published weights mid-run: some model years clear a Honda Odyssey, others don't. A listing site treats them as one trailer. They aren't.
That depends on what you care about — bunks for the kids, build quality, budget, weight you'd rather not tow. Set your priorities as sliders and watch all of these re-rank around them, live, with your vehicle already filled in. Nothing gets hidden.