Here is the full list of all 21 Tricone Lab achievements.
Completed every level in advanced map ExplodeEnigmas
Completed every level in advanced map AntiConstructions
Completed every level in advanced map ConstructConfuse
Completed every level in advanced map Rebalancings
Completed every level in advanced map MentalMash
Completed every level in advanced map ConeCarriers
Completed every level in advanced map TransportTricks
Completed every level in advanced map Outcloned
Completed every level in advanced map MixedMysteries
Completed every level in advanced map ConeStealers
Completed every level in advanced map ConeExplosions
Completed every level in advanced map BewilderBlend
The Exploder key
The Replicator key
The Transporter key
The Constructor key
The AntiCatalyst key
Completed every level in advanced map BalanceBother
The Balance key
The Breaker key
The Tricone key