I don’t mean to be That Asshole, but … I bet if you and I were locked in a house with a fully equipped and stocked kitchen for a few weeks, and you could only eat what I cooked for you, but I genuinely wanted to convince you of the deliciousness of veggies without making you suffer, I could change your mind. Here I how I’d start:
I’d ask what you’d like better: a nice roast leg of lamb, or a roast beef? Or either?
Once that was settled, I’d slow-roast the lamb or beef (or both, on different days) surrounded by root vegetables, being sure they were well-coated by animal grease, salt, and herbs through the long slow cooking process. Veggies would include potato, sweet potato, carrot, onion, yellow squash/zucchini, and winter squash.
Hopefully you would find those veggies roasted along with the meat delicious. I’d then take some of those, like the roast potatoes, and introduce you to a lovely mash like colcannon, consisting of mashed potatoes with inoffensive, pureed bits of spinach or steamed kale blended in. The potato dish wouldn’t stint on flavor: olive oil, butter, salt, pepper, herbs would be added with a liberal hand.
You see where I’m going with this, I hope. Eventually I hope your palate would appreciate luscious veggies sautéed in olive oil with lots of herbs, with perhaps a bit of meat to flavor it, or not.
If you are gagging now, I accept that! 