Kitchen
Electric air popcorn popper- same time as a microwave but no oil needed.
Electric water kettle- heats water in a minute for coffee, tea, oatmeal, instant noodles, etc.
Small soupan/saucepan- heat water, soup, boil eggs, cook rice & pasta
Skillet with lid- cook full meals in there, omelets, meat cuts with vegies and sauce simmered on low, stir frys and stove top casseroles.
Stock pot/pasta pot with lid- you can boil pastas, potatoes, steam vegies, simmer sauces and soups.
Steamer basket- vegies, dumplings, stuffed buns.
Living room
Yardsale or Craigslist it!
Bathroom
Buy the shampoo & conditioner with pump spouts and refill them as needed.
Disinfecting wipes work great for toilet seats, tanks, sinks, baseboards.
Bedrooms
Wire shelving that will hang in the closet. You can stack folded piles of pants, t-shirts, sweaters, knickers and go without a dresser of drawers that might otherswise take up a smallish room.
Use a few shallow trays or baskets on a closet shelf to store socks, stockings/tights, bras, belts, etc.
Buy the type of hangers that have a tier of clips where you can hang several skirts or pants at a time from each.