WipEout HD

You have to reach 100,000 with any ship for this trophy. If you complete the whole campaign and Racebox with one ship, chances are it's on around 60,000-70,000 already. If you have the Fury DLC there's a very good method of getting loyalty points.

The first method is to set up a "Zone Battle" event with Elite A.I and a target of 55 on Syncopia. Choose the ship you have the most loyalty points with. Now don't play the game as it's designed to be played, don't press to boost zones, instead stay behind everybody and just use for shields so you have more chance of getting a perfect lap. By the time one of the AI has won you would have done quite a lot of perfect laps. This method will give you anywhere between 2,000 and 3,000 loyalty points for less than 5 minutes of racing. Repeat this until you have 100,000 with any ship and the trophy will unlock.

If you don't have the DLC you are going to have to do the long and painful way of setting up a speed lap on phantom speed and racing 99 laps while getting as many perfect laps as you can. This takes around 45 minutes to do and only gives you a tiny 4,000 loyalty points! That is why the Zone battle way is a lot better than the speed lap way.