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