Cooking for longer on a lower power setting will still save your food from being an over microwaved mess even with a better dish to cook it in. Lower power for longer results in more even heating across all the food and tends not to dry things out so drastically.
Or just get an air fryer. Most things people make in the microwave can be made in an air fryer, and it almost always comes out leaps and bounds better.
It takes about 8 minutes minimum to cook anything from frozen in my air fryer, vs 1 or 2 in the microwave though. Sometimes the quality improvement is worth the extra time, but sometimes I just need my nuggies and I need em now.
Also, add water. How much depends on the food. Water is opaque to microwaves, so it absorbs them extremely readily and thus heat up. If you have wifi that shuts down when a shower is going, that's why.