Recommend to check out Mediterranean countries for recipe ideas. My go to is Moussaka which I believe is originally Greek. It involves slicing the eggplants into 1 cm thick slices - sometimes recommends salting/rinsing/draining before frying (ostensibly to remove the flatulence factor) but I usually just slice, brush with oil and grill, to no ill effect! Then the slices get layered with a flavoured mince mix, and whatever else, (perhaps potato) and topped with a cheesy white sauce that includes an egg, then baked in the oven. Quite a performance, but it's worth it. It's a bit like a lasagne, but veggies instead of pasta. Need I say, I'm not a purist
https://www.recipetineats.com/moussaka-greek-eggplant-beef-bake/#wprm-recipe-container-19656
There are also recipes for curries, char grilled eggplant and baba ghanoush (eggplant based dip) eggplant (perhaps where the flatulence rumour comes from?) also known as aubergine, so that's worth a look too.
Edit - your grill may not be my grill! I mean the part of the kitchen stove that browns the tops of stuff, not the BBQ grill. Although that works too- grilled eggplant goes will with a steak.