Cereal, bananas, Orange Juice are all bad for weight loss!!!
For fruits, east only berries.
Bananas, Apples & Oranges have the most sugar in them.
Cereal/Bagels are all wheat byproducts, might as well be eating a pizza, as they will fatten you up the same way.
Salads are fine as long as you don't add any salad dressing.
Like the coleslaw salad with dressing at KFC is more fattening than their fried chicken & mashed potato/gravy combo.
1) You can lose weight with any sort of food. Its all about maintaining a calorie deficit. How much of that is fat burned is another question entirely.
2) Fruits are good for you. Bananas are high in sugar compared to most fruits, but its not the sort of refined sugar that you should really stay away from. In moderation, bananas are just fine and a good source of healthy carbs/sugars. Berries are preferable, but in no way is a banana bad for weight loss.
3) You shouldn't be afraid of cereals. Just keep an eye on the ingredients list and ensure that they are proper whole grains and not just 'enriched wheat flour' or something similar. You can probably eat a better breakfast without cereals/grains, but its one thing saying that and another saying its actually bad for you.
4) Fruit juices are indeed bad for you. Lots of added sugar in many cases, and even when its not the case, the sugar content is still inexcusably high. You're so much better off just eating a real piece of fruit.
5) Dont be afraid of salad dressing. Yes, many of them aren't great for you, but with some moderation and an eye on your overall calorie intake, there's no reason to say you should refrain from them completely. There's many perfectly healthy dressings out there and even ones like Ranch or Caesar are fine if you dont overdo it. If it gets you eating a good amount of vegetables(which are low in calories and extremely good for you), it more than makes up for any downsides.
You can improve the efficiency of a weight-loss diet by maintaining strict guidelines about food, but its not the end of the world if you stray into a bit of the 'bad stuff' once in a while. I would imagine that most people need a bit of mayo/cheese/ranch dressing, etc in their lives in order to maintain a sustainable diet. If you're keeping an eye on your calorie intake, you can still lose weight and feel perfectly good eating this stuff. Many people fail with their diets because they choose impossibly strict standards that are hard to keep up. Be reasonable and practice moderation. Not everybody has willpowers of stone, although I wont argue that it does help.