Wheel of Fortune

The achievements for collecting specific wedges are somewhat luck based, but there is a method to increase your chances of getting them. Start a game using 3 controllers so that there are no AI players in the way to ruin your plans.

With your main controller, spin the wheel and try to get a good idea of what the solution is. If you just tap instead of holding it down, the wheel will end up close to where it started. Sometimes it will go further, and sometimes it will go backward. Use different levels of power to get close to the wedges that you're going for, then start tapping to spin until you land on it. You have to correctly guess a letter to pick up the wedge, so make sure you know the solution ASAP.

I guessed letters until I knew the puzzle, then when I landed on a space that I didn't want, I purposely guessed a wrong letter. With the other two controllers, press twice to Solve, then Pass. Continue spinning and guessing incorrect letters until you land on the wedges that you want. I believe that only two of these wedges will appear per game, so once you have everything that you want you can quit and restart the game.

It still takes time, but this is the fastest method I have found.