Here is the full list of all 21 Bridge Constructor Playground achievements. It takes around 3-4 hours to unlock all of the achievements on Windows.
Achieved 55 badges!
Trucks can drive on all of Island 1's bridges.
Cars can drive on all of Island 1's bridges.
One vehicle reached the opposite side of the bridge safely, the other did not.
Ran a level simulation although not one single element had been built.
Achieved 25 badges!
Achieved all badges for all bridges!
Built a truck bridge which withstands over 95% strain without anything breaking.
Spent at least 100,000 for a bridge.
Built a bridge with at least 100 construction elements.
Cars can drive on all of Island 2's bridges.
Cars can drive on all of Island 4's bridges.
Trucks can drive on all of Island 2's bridges.
Trucks can drive on all of Island 3's bridges.
Trucks can drive on all of Island 4's bSouths.
Completed all levels with trucks.
25 failed simulations in a row for the same bridge.
Bridge completed although at least 1 part broke.
A vehicle flew at least 5 grid units into the air.
Achieved 90 badges!