Here is the full list of all 19 Inside My Radio trophies - there are 17 bronze and 2 silver.
Get the maximum combo in Time Attack mode
Try the 9 rhythmic combinations in the first level
Win the final battle
Finish all electro levels
Collect all elevator sounds in the third electro level
Beat the dub boss
Finish all dub levels
Change the ambiant music 20 times in the same run
Interact with all of the buttons of the mixing table
Squash 10 spiders in the same run
Find the secret area in the second electro level
Beat the disco boss
Finish all disco levels
Turn on each character of the sequencer
Perform a perfect at the piano mini game
Miss 5 actions in a row
Finish a level without rhytmic help
Finish all Time Attack levels
Get a score of over 500 million in Time Attack mode