Here is the full list of all 13 Toki trophies - there are 10 bronze, 2 silver and 1 gold.
Beat the total score of 350000 points (arcade mode)
Complete arcade mode without using continues (normal difficulty or higher)
Complete arcade mode on difficulty level: hardest
You defeated Vookimedlo! (You broke his heart, sniff...)
Good work! You defeated Bashtar!
Collect 50 coins to earn an extra life! (arcade mode)
You defeated Zarzamoth!
You defeated Mogulvor!
Collect all the 1UP bonuses in a session
You defeated Rambacha!
Reach a score of 70,000 points to earn an extra life! (arcade mode)
You defeated Boloragog!
Eliminate an enemy by jumping on his head