Thats a fairly basic outlook, but i'll introduce a new area, GI.
Eat low GI foods and lean meat whenever possible. Sites such as this one list GI of most common foods. In a nutshell, the lower the GI, the better
Whats so good about low GI's? Gi applies to carbohydrate-based foods, and the lower the GI, the slower the carbs are released into your bloodstream. The result? Longer lasting energy, more fuller feeling (food in stomach for longer), and very low amounts of fat storage. Normally High GI foods store what you eat straight away, and in most sedentary people, it goes to fat. Low Gi supplies the body with energy as you need it.
(The only time you should be eating High Gi, is if you train for a sport, and you finished a training session, eat a banana or some other fairly high GI food to replace muscle glycogen)
Low GI is especially good for snacks, as it gives you sustained, high saitaiety(sp?) energy.
So learn about GI (Glycaemic Index is what it stands for, do a google to learn more), and supplement that info to your diet
(Disclaimer : I am a 4th year Nutrition and Human Movements student, so I do have a fair idea).
I think i read somewhere that aerobic exercise doesn;t burn fat off. One word to that : Bullshit. Aerobic energy is vital to burning off fat stores.
Heres why. Theres a scientific term that compares Co2 output over a period of time with heart rate and other things. The name of it actually eludes me at the moment (anyone else know?). But essentialy, the harder you work, the more you rely on carbs stored in the body (in muscle glycogen) and the less on you fats.
The good thing about aerobic exercise is that your normally not working hard enough to get all the energy from glycogen, but rather its a 60 - 40 % ratio of carbs to fats burnt, at a 65% Maximum heart rate effort (a good effort, but not that difficult).
So, in a 5km run (Energy Expenditure for running = 4.22kj per kilogram (2.2 pounds) per km, or easier 1 calorie per kilo per km) a 65 kilo person would burn off 325 calories. They would burn off approx 140 calories of fat (15 grams of fat) and 185 calories of glycogen (46 grams of Carbo's) with maybe a slight bit of muscle breakdown. The next meal, eat 40 grams of Carbs, 8 grams of Protein and about 6 grams of Fat, and you've essentialy lost 15 grams of fat. Of course it depends on whatever else you eat, but you get the idea.
Summary : If your going to diet, make sure you exercise, and lift some weights, so the weight you lost is fat, not muscle. If you diet only, then you will lost mostly muscle. Keeping active with aerobic exercise, some weight sessions, low fat and low gi diets are the best way to stay fit an healthy.
(sorry about some of the grammer and spelling, im going out for a run before it gets dark, and im trying to rush through my comment. Just remember, you can lose fat easily by doing aerobic sessions. Whoever said you couldn't in the front page article about obesity had NO idea what he was on about.)