A well known culprit for heart disease is table salt. (Sodium Chloride)
Raised blood pressure is a major cause of cardiovascular disease,
responsible for 62% of stroke and 49% of coronary heart disease.
Importantly, the risk of CVD increases throughout the range of blood
pressure, starting at 115/75 mmHg.(Lewington S et al. Age-specific
relevance of usual blood pressure to vascular mortality: a
meta-analysis of individual data for one million adults in 61
prospective studies. Lancet. 2002; 360, 1903-1913) Salt is the major
factor that increases blood pressure and is therefore responsible for
many strokes and heart attacks every year. - See more here.
An high-fat diet must also be taken into account. Here is a comprehensive breakdown of what types of fat there are, what it does to help you (obtain fat soluble vitamins such as Vitamin A, provide energy.) and harm you. (As in heart disease, narrowing of arteries because of fatty deposits such as cholesterol.)
This is true not just for those who are obese, though both high fat diet and obesity are risk factors for cause heart disease and vascular problems. Obesity on it's own but with a favorable diet - ie. a balanced one, but eaten in excess quantity - is known to cause heart disease, type ll diabetes, increased risk of certain cancers, heart attack and stroke. See here.
Prostate cancer seems to have flimsy evidence to support the idea that a high fat and low fruit diet may add to susceptibility:
Men from western countries, such as the UK and USA, have a higher
rate of prostate cancer than men from eastern countries such as China
and Japan. It’s thought that this might be because western diets tend
to be higher in animal fat (including dairy products) and lower in
fresh fruit and vegetables. Asian men also tend to have a higher
intake of soy in their diet. Soy and soy products contain chemicals
called phyto-oestrogens. Researchers believe these might reduce the
risk of prostate cancer, but more research is needed to confirm this.
If you finish the article here, it emphasizes that more research is needed, ie. a strong causal connection can not yet be made between a particular diet and the onset of Prostate Cancer.
With regards infertility, here it is suggested avoiding fads such as ginseng, kelp, oysters, garlic and champaigne, which have a folk-tail connection to increased fertility, and just follow a balanced diet:
an eight-year study of more than 18,000 women that uncovered ten
evidence-based suggestions for improving fertility. This work, from
the landmark Nurses' Health Study, fills a critical information gap on
diet and fertility.
I can find no suggestion (or study) that a particular food reduces fertility. However, there is a suggestion here certain tropical foods can cause spontaneous abortion. (Miscarriage) There are similar claims elsewhere, but again, no studies to confirm or deny a causal connection.
Some ancient methods of birth control are listed here, but again, no study to support their effect, though many are known to be generally poisonous, and we can expect they wouldn't do any prospective baby much good, nor the mother.