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