Open up the game and for the purpose of this achievement leave all settings as they are when it brings you to the settings options screen.
On the main menu go over to the World Map, on the world and pan over to Europe, then England, then London, just at the right of London along the River Thames zoom in (RT) and you will see an airport (EGLC/London City). Move your curser over the air strip and click on (Press A) the target looking symbol, then click SET AS ARRIVAL. (don't choose any other option) Then press the Yellow Fly button at the bottom right of your screen.
Once the game loads, Click READY TO FLY
Set your camera angle behind your plane by pressing the (Select Button, Two Square button)
Then press you Left analog stick in like button press and it will bring up a menu across the top of your screen, move your curser over the pilot man symbol (usually found in the middle or the left of the menu) this will being up a assist menu in the middle of your screen, go down to the blue bar which says CANCEL DESTINATION (LONDON CITY) and press on it with A. Then as quickly as possible move your cursor up to the top right of this assist menu and press the x to close the menu and then close the menu off the top of your screen by pressing the left analog stick in again.
Now you should be in control of the plain, the speed is already correct so you don't need to adjust that or press anything to keep it going, also don't move left or right and try to remain quite low, you should be heading toward the run way, we AREN'T landing here, instead were flying right over the runway towards the 02 arena (London landmark) you can see it a little way in the distance at the top of your screen its a large white dome, seen on the James Bond Movie amongst others. So keep heading towards the 02 arena, you can edge the plane slightly left or right using the triggers and up and down using the left analog stick.
Try to fly either just to the left of the arena or just to the right, as you get close move your camera around using the right analog stick and keep the 02 arena in the center of the screen. Once you are really close keep pressing LB and A together to lock your camera onto it. It can be a bit fiddly and may try to lock onto something else, when you are pretty much right on top of it, pressing LB & A should lock your camera onto it and after a few seconds the achievement should pop.
If you crash or move to far off course or it doesn't lock onto it, press the start button (three lines, menu button) and press X to restart, don't forget to press in your left analog and turn off the destination in the assist menu, and then close both menu's one by click the small cross then the other by pressing the left stick in again.
Video Guide -