Try roasting your vegetables. This works for asparagus, broccoli, sweet potatoes, potatoes, winter squash, carrots, cabbage, and many other vegetables. The roasting process gives them a nice sweet flavor.
Peel them, if necessary, and cut them into roughly bite-sized pieces. Put them in a mixing bowl. Pour on a little olive oil or vegetable oil--maybe one teaspoon per cup of vegetables. Sprinkle with some salt and pepper to taste. Then mix it up real good (with bare hands or a spoon) until the veggies are coated on all sides with the oil, salt and pepper. Spread it on a baking sheet, with the veggies in a single layer, if possible. Put it in the oven, which has been preheated to 400 degrees or even 425. It will take from 20 to 30 minutes to cook. Stir it at least once while it's cooking. Ideally, the veggies will be browned a little when you take them out--it's the browning that gives them additional flavor.
(CE--I love explaining something to you, since you're usually explaining stuff to me!
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