I usually have something on the grill 4-5 nights/week. Couple of suggestions:
Quarter some white potatoes. Soak in bowl for 30-45 mins with water, ice and a splash of vinegar. Remove potatoes, pat dry, coat in olive oil and put on grill. Outsides get golden brown and crispy, insides are soft and creamy. Toss in a little olive oil and kosher salt before serving.
Doing something simple like a burger? Start by cooking a few strips of good bacon on the grill. Remove bacon, then start your burgers. Gotta cook bacon slow so as to avoid flareups, but the bacon grease/smoke gives great flavor to a burger. (Bonus: you have bacon for your burger, in a salad etc.). Also, always toast the burger bun on the grill. Always. I’m not an onion guy, but I’ll always have a sliced white onion on the grill for Mrs fan for burger night.
Lots of good veggies on the grill, especially if you have a grill basket. Asparagus is probably the most regular vegetable on our grill, but broccolini, broccoli, bell peppers, and even some leafies like endive or red cabbage quarters can be good. Again, olive oil, kosher salt and maybe some pepper are all you need.