Try making soups and steamed dishes. You can even braise by using one of the low power cycles (The lowest, preferably), which will work best if your microwave uses duty cycles rather then actual power modification.
You can make, in the microwave:
* Almost Poached Eggs
* Bechamel Sauce, and thus any other sauce in that family that doesn't require second cooking
* Almost any grain with a decent microwave rice cooker, including lentils, polenta, oatmeal (Which can be savoury), rice, brown rice, bulgur, pearled barley, beans, cous cous and chickpeas.
* Brownies
* Poached Chicken Breasts
You just need to be a little less 1-minute-button-pushy.