Here is the full list of all 20 DayD: Through time. Jurassic Rush achievements.
For defeating a Lizard
Use the Work Accelerator
For completing 15 levels with 3 stars
Upgrade base to lvl 3
For completing 1 pack
For activating a portal
Use the Run Accelerator
For starting a campfire
For constructing a building
For clearing one roadblock
For collecting all trophies
Defeat Doctor Awful
For completing 30 levels with 3 stars
For completing all levels with 3 stars
Use the Time Stopper
Activate the retransmission unit
Defeat the T-rex boss
For completing 2 packs
For completing 3 packs
For completing 4 packs