It would be helpful if we did know what you had access to.
One of the regular writers on thekitchn has been working on remodeling an old church into a home, and she doesn't have a stove. She uses a toaster oven, electric skillet, and a hot water kettle.
Do you have a toaster oven? If you do, you can roast small batches of vegetables--onions, broccoli, mushrooms, zucchini, etc. You can also use the broiler function for a lot of things.
Try making tartines, open-faced sandwiches. My favorite tartine is pretty basic--arugula or cress, cheese (brie or goat cheese), and tomato. You use the toaster oven to melt the cheese on the bread with the broiler, and then top it with the tomato and arugula. Yummy.
If you have a microwave, you can poach eggs in it.
How To Poach an Egg in the Microwave | Apartment Therapy The Kitchn
It takes some experimenting to get the timing right. My microwave is more powerful than the one in the article, and so it takes less time and less power.