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