H. Guldbrand, B. Dizdar, B. Bunjaku, T. Lindström, M. Bachrach-Lindström, M. Fredrikson, C. J. Östgren, F. H. Nystrom, “In Type 2 Diabetes, Randomisation to Advice to Follow a Low-carbohydrate Diet Transiently Improves Glycaemic Control Compared with Advice to Follow a Low-fat Diet Producing a Similar Weight Loss,” Diabetologia (2012) 55: 2118. http://link.springer.com/article/10.1007/s00125-012-2567-4.
This is a new area, but the research that has come out since this article is also positive, and promising. One example: In this June 2018 study of 23 people with obesity, 12 weeks of 8-hour time-restricted feeding resulted a 2.6% decrease in body weight and a 7 point decrease in systolic blood pressure, which was significant when compared to controls: https://www.ncbi.nlm.nih.gov/pubmed/29951594
A ketogenic diet helps control blood sugar levels. It is excellent for managing type 2 diabetes, sometimes even leading to complete reversal of the disease. This has been proven in studies. It makes perfect sense since keto lowers blood-sugar levels, reduces the need of medications and reduces the potentially negative impact of high insulin levels.
Dairy products such as cream and cheeses. They work well in cooking, as they satisfy. The problem is if you’re munching a lot of cheese in front of the TV in the evening… without being hungry. Be careful with that. Or lots of cream with dessert, when you’re actually already full and just keep eating because it tastes good. Or another common culprit: loads of heavy cream in the coffee, many times per day.

Obviously, it’s still possible to lose weight on any diet – just eat fewer calories than you burn, right? The problem with this simplistic advice is that it ignores the elephant in the room: hunger. Most people don’t like to “just eat less”, as it may result in having to go hungry forever. Sooner or later, a normal person will likely give up and eat, hence the prevalence of “yo-yo dieting”. While it should be possible to lose weight on any diet, some appear to make it easier and some to make it much harder.