Sure you can go out of London. You can have many tourist place such as Orlando, Sydney, Singapore, Manila and many other. If you want to book flights then first of all visit the cheap flights and get the best flights with special airlines by which you can save and money both.
well i'm going to torquay in a fortnight on my own but on a coach holiday. it was a real bargain and there are trips out you can go on, and even though you are going on your own and being independant you are also with people if like me this is your first going alone. i can send you think link to the website if you would like it does a holiday every monday in july and august !!