Grilled portobellos, marinated in EVOO, rosemary, garlic, and balsamic vinegar, are delicious, and eggplant, zucchini, and other veggies can be done like this.
You can try making different kinds of burgers, such as Jack’s facon burgers, and you can do BBQ chicken thighs and drumsticks, Jack’s sausages (the chorizo and Italian ones are superb), grilled salmon, and even grilled peaches or other stone fruits are delicious. Ribs on the bbq (low and slow cooking) are excellent, as is brisket prepared in this manner.
I had something called a Lyula kebab in a Bukharian restaurant a while ago- basically ground beef, onion, parsley, cumin, and other spices tightly wrapped on a metal skewer and grilled. This is amazing with pita and babaganoush. Come to think of it, babaganoush is a great BBQ idea- grill the eggplant over the coals until it’s soft and smoky, and then mash with garlic, techina, cumin, parsley, and onion.