This is very straightforward. All you need to do is beat any time trail with each of the 8 different visual styles selected.
The quickest way is just to do Time Trial (Short 1) repeatedly. It can be completed in less than 20 seconds. When you change the Visuals, make sure you also change the Time Remaining back to Default Setting rather than Personal Best. If you are completing the time trial as quickly as possible, it may be impossible to beat your personal best.