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