Here is the full list of all 13 Toki achievements.
Beat Rambacha
Reach a score of 70,000 points to earn an extra life! (arcade mode)
Beat Boloragog
Eliminate an enemy by jumping on his head
Beat Mogulvor
Beat Zarzamoth
Beat Bashtar
Beat Vookimedlo
Complete arcade mode on difficulty level: hardest
Complete arcade mode without using continues (normal difficulty or higher)
Collect all the 1UP bonuses in a session
Collect 50 coins to earn an extra life! (arcade mode)
Beat the total score of 350 000 points (arcade mode)