I follow the Rapid Fat Loss diet by Lyle Mcdonald and the Paleo diet, minus most fruit other than tomatoes (for now...) and I don't eat as much fat as many (but not all!) Paleos do. No dark chocolate, no refined carbs, no beans. If I have a need to "carb up" only on big workout days, I might go for sweet potato. I make sure that the foods I eat fit under my calorie plan-that is very important. I do use some sauces and drink 1 packet diet hot chocolate that prob don't fit either plan, but I count those calories.
No wheat! No sugar. I do eat blueberries and other fruit. After a while you just have to listen to your body. Some lower-carb foods still make me feel bloaty and hungry soon after. I really don't miss the wheat now - which surprises me to bits! I feel so much better without it (like a bad relationship . . . hurts to break up but you start feeling great when it's gone!)
For weight loss purposes, I mostly stick to Whole 30 with the occasional glass of red wine here and there. Once I reach my goal weight I'll follow a paleo diet for the most part. That's the easiest way for me to keep from gaining.
Real food. The only things I am really strict about are grains, dairy and sugar (especially HFCS) Corn syrup leads to horrible cravings, even in small amounts like sauces. Lots more veggies since it's spring, and plenty of eggs.
I am not a low-carber but I am very carb-concious. I eat carbs from veggies and fruit but pay attention to high-carb fruits. I don't eat bread or pasta but I do eat a cracker every now and then or some oats. For dinner I sometimes add a bit (smallll!) brown rice or some couscous.
Meat (as unprocessed as possible), eggs, nonstarchy veg, fruit (mostly berries), whey protein powder, flax seed, some dairy, and (on very rare occasion) bakers chocolate made into whatever low carb goodies I can come up with.