Here is the full list of all 26 Go Home Dinosaurs! achievements. It takes around 15-20 hours to unlock all of the achievements on Windows.
Send 10,000 Dinos home
Get all 180 Steaks - Three Steaks on each level
Buy all the clothes in Shoppy's store
Send 250 Todd Rexes home
Send the final boss home
Three Steak Level 3-19 using only Power Ups
Three Steak Level 2-6 using only cards that cost 3 coconuts or less
Three Steak Level 3-11 without clearing any rocks
Send 100 Hank Ankylosauruses home
Send 10 Dinos home with a single meteor
Three Steak Level 2-19 using only Teleporter Twins and Crushers
Send 100 Vesa Velociraptors home
Buy all the powerup cards in Shoppy's store
Send King Rex home
Send 100 Bruno Stegosauruses home
Send 100 Crash Pteranodons home
Explode 50 BBQ dynamite
Three Steak Level 1-19 using only 2 cards
Send 250 Petey Pteradactyls home
Defeat the last Dino in a level within 6 inches of the BBQ
Three Steak Level 1-12 using only Splodey Barrels
Collect a chain of 10 coconuts without stopping
Send 250 Tina Triceratops home
Send Steg Vicious home
Send 1000 Compies home
Visit Shoppy's store and buy an item