The World Cancer Research Fund published a long, detailed report, collating much research. It is worth reading through the several hundred pages.
http://www.dietandcancerreport.org/?p=ER
Chapter 4 is particularly relevant for those interested in nutrition - not just for the interaction between foods and cancer, but for other health effects. See also Chapter 8, on exercise.
Chapter 4 Foods and drinks 66
4.1 Cereals (grains), roots, tubers and plantains 67
4.2 Vegetables, fruits, pulses (legumes), nuts,
seeds, herbs, spices 75
4.3 Meat, poultry, fish and eggs 116
4.4 Milk, dairy products 129
4.5 Fats and oils 135
4.6 Sugars and salt 141
4.7 Water, fruit juices, soft drinks and hot drinks 148
4.8 Alcoholic drinks 157
4.9 Food production, processing, preservation
and preparation 172
4.10 Dietary constituents and supplements 179
4.11 Dietary patterns 190