Here is the full list of all 17 Temporal Temple achievements.
Purchase a weapon from the chest
Purchase an item from the shop
Kill a haunted enemy
Last at least 30 seconds in a single run
Last over 60 seconds in a single run
Unlock Bone Boy
Use the chest three times in a single run
Die 25 times
Use the Healing Shrine to recover health
Kill five Big Guys in a single run
Jump 69 times in a single run
Unlock Jakarta
Unlock Big Tam
Unlock Dan
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Unlock Mary