Here are some herbs that go well with various types of vegetables:
Broccoli – Goes great with thyme, ginger, and garlic.
Cauliflower – Try using a combination of rosemary, thyme, and sage.
Asparagus – Goes well with lemon balm, chives, and dill.
Green beans – Pair with thyme, mint, or lemon balm.
Zucchini – Try using a combination of basil, thyme, or oregano.