Vegetables and healthy fats are known to combat inflammation. Also, foods that are very low in sugar and without dairy.
To name a few:
Broccoli, cauliflower, spinach, arugula, garlic, salmon, raw pumpkin seeds, dandelion greens, beet greens, peppers, leeks, artichokes...
There are lists scattered all over the Internet that will help you figure out what is and isn't okay on an anti-inflammatory diet. I am actually working on a hub right now that will include a one-day anti-inflammatory meal plan. It will be published by the end of the week.