Here is the full list of all 43 Lumo trophies - there are 28 bronze, 11 silver, 3 gold and 1 platinum.
Wait, you got all the trophies? You didn't cheat, did you?
Complete the game in Old School Mode
Fail to get any of the Warp Zone bonus letters
Roll to the end with 105 seconds (or more) remaining
Collect the two bonus Es from the Warp Zone first
Collect all 32 ducks without dying while holding a duck
Perform a Fireball in the Dojo
Deliver at least one paper on the way home
Collect all of the Warp Zone bonus letters
Collect all 50 cassettes
Collect the bonus D in the Warp Zone
Collect all of the coins
Collect all the map pages
Bounce to the end with 110 seconds (or more) remaining
Collect the bonus N in the Warp Zone
Don't hit the Nipper
Fly the bubble from one end to the other without dying
Collect the second bonus E in the Warp Zone
Get to the top with 60 seconds (or more) remaining
Look at the Fire Station
Collect the bonus T in the Warp Zone
Collect 110 Zzap 64 logos
Collect 64 Zzap logos
Get all coins and hit all gates without dying on the ski run
Clear the dice with 135 seconds (or more) remaining
Collect the bonus X in the Warp Zone
Collect all 32 Ducks - any way, any how
Paint the floor without missing a spot
Start the fan in the Orb Maze
Collect all of the coins in the Mine without dying
Get to the end of the Rolling Ball corridor first time without dying
Hit the bullseye with the Boing Gun
Get the Love Box to follow you for 50 metres without stopping
Collect the rPI
Kill all the Ghosts without dying
Collect the first bonus E in the Warp Zone
Die 250 times in one game
Collect the #RCFF
Pay your respects to the Train Spotter
Flush the Loo
Collect the Multiface
Collect the SD Card
Collect the Agility Orb