Here is the full list of all 36 Tiny Trax trophies - there are 22 bronze, 8 silver, 5 gold and 1 platinum.
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Earn platinum in all cups
Win the Galactic Odyssey cup in under 08:46.000
Win the All-Star cup in under 10:57.000
Earn gold in all cups
Earn bronze cups in all cup races
Get a lap time under 00:27.000 in a Meteor Mall single race
Complete the Meteor Mall single race in under 02:13.000
Earn gold medals in all single races
Earn bronze medals in all single races
Earn all gold medals in the Galactic Odyssey single races
Complete the Orbital Lift single race in under 01:52.000
Complete the Lunar Drill single race in under 02:42.000
Complete the Enigma Eden single race in under 02:05.000
Unlock the All-Star cup
Win the Frozen Foregeway cup in under 07:07.000
Get a lap time under 00:21.000 in a Molten Ruins single race
Complete the Molten Ruins single race in under 01:44.000
Earn all gold medals in the Frozen Forgeway single races
Complete the Devil's Anvil single race in under 02:02.000
Complete the Glacial Grip single race in under 02:02.000
Peer through the loop de loop in the Molten Ruins single race
Win the Paradise Adventure cup in under 05:05.000
Get a lap time under 00:17.000 in a Shipwreck Island single race
Complete the Shattered Shelf single race in under 01:27.000
Complete the Shipwreck Island single race in under 01:25.000
Complete the Paradise Falls single race in under 01:25.000
Earn all gold medals in the Paradise Adventure single races
Complete the Treasure Cave single race in under 01:20.000
Complete a race using each vehicle
Complete the Pirate Bay single race in under 01:00.000
Earn a platinum cup
Earn a gold medal in a single race
Dunk your head underwater in the Shipwreck Island single race
Oversteer and skid to a halt twice within 5 seconds
Earn a gold cup