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