Here is the full list of all 34 Taco Master trophies - there are 21 bronze, 7 silver, 5 gold and 1 platinum.
¡Taquerazo as me!
Clear career Fiesta Mexicana
Clear level 10 in career Fiesta Mexicana
Get a golden medal in all Tropical Fury levels
Get rid of 1000 crabs
Deliver 1000 orders in any mode
Finish career Tropical Fury
Get rid of 500 crabs
Deliver 500 fish tacos
Do 10 wet notes
Do the first wet note
Deliver 100 fish tacos
Deliver 50 fish tacos
Deliver 500 orders in any mode
Deliver 1 fish taco
Clear 10 Rush mode in under 00:50:00
Complete 10 Rush in Time Attack mode for the 1st time
Clear 100 Rush mode in under 05:00:00
Complete 100 Rush in Time Attack mode for the 1st time
Clear 50 Rush mode in under 03:00:00
Complete 50 Rush in Time Attack mode for the 1st time
Clear career Classic
Clear level 27 in career Classic
Deliver 250 orders in any mode
Get a 30 combo multiplier in any mode
Clear level 20 in career Classic
Clear level 17 in career Classic
Deliver 100 orders in any mode
Clear level 10 in career Classic
Deliver 50 orders in any mode
Clear level 5 in career Classic
Get a 10 combo multiplier in any mode
Get a 5 combo multiplier in any mode
Deliver 1 order in any mode