I did the Atkins diet for a while and actually lost weight. But its a miserable experience to always keep your blood sugar low.
The way its set up you need to make sure you dont have shit going on for two whole days, cuz you gotta drain all your blood sugar to start. Some people take 3 days.
Atkins uses the wrong approach to a low-carb lifestyle.
A more or less "caveman" diet is more appropriate, or at least, a diet lower in sugar and carbs. They aren't the enemy, but energy sources, to be used to sustain you until better food sources are available. Carbs are the "nothing else is available" food item - it's why we are omnivores, we didn't develop to eat mostly carbs - most of the nutrition we truly need comes in the way of flesh and plant-life, specifically various nuts and high-fiber starches.
And if you do track things correctly, you can get most of the nutrients found in various fruits and vegetables in a host of other sources.
And it's a terrible idea to enter any diet that requires a "starving yourself" period. Simply drastically reduce sugar intake (you'll feel weak, right? swap sugar with complex carbs, any carb item that has a low Glycemic Index is good to start with). And if controlled properly, even those first few days won't be terrible. When you reduce sugar and carb intake, you aren't cutting your food intake - that's not the plan of some of these "diets", as they are more or less "lifestyles", something designed to be subscribed to for life, to keep you at the right weight. Fatty acids and proteins also do a terrific job at helping you feel full. Anything chocked full of unsaturated fat will 1) be really really good for you, as we need more unsaturated fat, not less.. and 2) it will help keep you feeling satiated for a longer period of time. They take a little time to digest, and aren't causing a sugar rush in your blood, so the energy isn't peaky.
No-sugar Almond Milk is a great replacement for regular milk when you want more milk sources but are crafting a low-carb meal.
For me, I don't subscribe perfectly to one plan, but I keep the ideals in mind and constantly watch my choices. I didn't even need to lose any weight and I've lost 5+ lbs simply cutting back on sugar and carbs - I have a massive sweet-tooth and used to eat a ton of junk food. Kept myself at a very healthy weight and was always active, so I figured I could get away with eating what I want as long as I managed calories.
I realized that was a terrible approach, and could spell disaster when I'm middle-aged. I want to have a body that is capable of physical activity the rest of my life, so I really need to get myself to peak health and maintain that. That includes trying to make sure I'm taking care of the parts of my health I can't see, which includes managing blood pressure, lipids, cellular construction, etc etc. You need a lot more Omega 3s than we currently get, and I think a diet pushing for more Essential Fatty Acids (the typical American diet is terrible when compared to Mediterranean diets, which are super high in Omega 3s and lower in 6s, where the reverse is true in the U.S.) is a good idea, definitely help keep the "internal health" closer to worry-free. I'm not worried about weight management at all, I'm worried about keeping my internal systems functioning at peak - my blood circulating properly, insulin and glucose moving in and out of cells efficiently, neural repair and cellular construction occurring smoothly... I want to be one of those 80 years olds that are so active they make all those lazy fat 20 year olds feel like shit, because sometimes seeing an 80 year old man in better shape than you can be a good motivator to finally trying something to better yourself.