If you want to get a really strong overview of inflammatory vs. anti-inflammation foods I would highly recommend the book "the clear skin diet" by Drs Logan and Treloar. It goes into depth about how food can influence acne and hormones and gives really strong supporting information and studies about the different foods to steer clear of and what to try to eat more often.
I'll list some of things I've learned and have been trying to follow, but bear in mind that everyone is different and foods effect people differently so this is a broad overview!
Inflammatory foods to avoid include:
Milk/dairy
Processed sugars (desserts, anything with high fructose corn syrup, sugary drinks sodas, bottled juices)
High GI foods (GI stands for glycemic index)
Refined carbohydrates (white breads, pastas)
Fatty or highly processed meats, meats with sugar glaze or marinades
Sugary fruits (watermelon,banana, dried fruits)
Vegetable oils
Man made artificial butters, sweetners or substitutes for real natural foods
Anti-inflammatory foods include:
Deeply colored vegetables (particularly anything high in vitamin A like carrots, sweet potatoes, spinach as well as tomatoes, but pretty much most vegetables had high levels of antioxidants and you want to aim to eat as many different vegetables every day as you possibly can)
Salmon
Eggs (aiming for cage free, higher in omega 3)
Soy (In moderation, miso is good as well as tempeh)
Ginger, turmeric, cinnamon (spices)
Green tea
Cereal grains (brown rice, barley, quinoia, whole wheat breads and crackers like Ezekiel bread and ak mak as well as oatmeal)
Extra virgin olive oil
Lean meats, aiming for poultry or fish over beef
Berries (lowest GI fruits) blueberries, strawberries etc
Basically you would want to aim for a diet that is largely natural and whole foods over anything in a package or convenience food items. It can be tough at times but I do feel personally these principles help keep my skin from getting completely out of control. I'm hopin with the addition of juicing and B5 to get he maximum results!
Hope this helps somewhat