Most cream soups are best when the flavor of the vegetable isn't blurred by too many ingredients, but herbs, spices, or cooked meats can make the soup more interesting.
Fresh chopped herbs brighten the soup's flavor. Most soups benefit from a little parsley, basil, chives, or chervil. Try the more assertive tarragon with mushroom, and dill with beet. Chopped cilantro is great in soups with southwestern ingredients, such as chiles, tomatoes, and corn.
Spices—used sparingly—add character. Try stirring a tiny pinch of grated nutmeg into cream of asparagus, spinach, or mushroom soup. A tablespoon of curry powder, cooked with the aromatics, adds a savory backdrop that's great with butternut squash, sweet potato, and cauliflower. Fresh grated ginger simmered in a carrot or fennel soup a minute or two before the soup is puréed will give it some zing.
Flavorful meats make the soup heartier. Stir in strips of prosciutto, crumbled cooked bacon, tiny cooked shrimp, or shredded cooked chicken after the soup has been puréed.
Some soups benefit from a splash of wine. I love sherry in a soup of carrots or winter squash. Adding wine is an especially good trick if the finished soup tastes a little flat. Cook the soup for a couple of minutes to get rid of the alcohol. A good wine vinegar or some lemon juice will also give the soup some tang.
Don't forget the salt and pepper. Cream soups need a good amount of salt to bring out the somewhat muted vegetable flavors.