Try thyme or mint with peas, rosemary with potatoes, basil or dill with tomatoes, cinnamon and brown sugar with squash, turnips and carrots, and do try roasted garlic. Once you get a sense of the flavours, you can make your own combinations. Also, if you grind your pepper freshly each time you use it, it makes a big difference. I also like fresh ginger and cilantro for vegetable stir fry. Thyme and Rosemary are good on potatoes.
Oregano is great with tomatoes.
Rosemary is good on potatos. Often they recommend uses for each particular herb. Also, chopped sauted onions or roaster red peppers mix well with most veggies - like a yummy hot salad. A good one will have herbs and spices in bulk and they are much, much less expensive than what you are able to get in your local supermarket. A splash of lemon juice is a cheap alternative for dressing up veggies, especially on salads and veggies like asparagus and broccoli.