Welcome to the forum!
Omelettes were one of the first things I learned to make when I was away at school, to make a fast, nutritious meal with various ingredients in it. Rice was something I used a lot, too - pilaf type things with many types of meats and/or vegetables, then the rice and water added, and cooked 20-25 min, until the rice is cooked, and liquid is absorbed. Heavy Dutch oven type pots are good for stovetop, and another type of pan I use a lot for one pot dishes is a sauté pan - like a skillet, but straight sides, and a lid, and many things can be browned in it, then removed, a sauce started in it, meat returned, and simmered, then served with rice, pasta, etc.
Do you have a microwave, to reheat these types of things? And are you looking into getting the slow cooker? Sounds like you might be, when you stated "Right now I don't have it." If so, I would look into getting one of those multi-cookers, like an Instant Pot. This is something I have made countless "one pot meals" in, and one good thing about it is that you don't have to keep watching it so closely. You can brown the onions, and meats, then add other ingredients, and either use it as a slow cooker, a fast slow cooker (which is basically like a simmer on a stovetop), or speed things up with the pressure cooker. Also has a rice cooker mode, which is a low pressure cooker. You might be able to buy a used one at a yard sale, or something like that, that has hardly been used at all, because some people just don't want to learn how to cook in them. I wish I'd had one in my early days, in those school kitchens!