Here is the full list of all 42 Bridge Constructor trophies - there are 28 bronze, 10 silver, 3 gold and 1 platinum.
Tank trucks can drive on all of Island 3's bridges.
Tank trucks can drive on all of Island 2's bridges.
Tank trucks can drive on all of Island 1's bridges.
A vehicle flew at least 5 grid units into the air.
Cars can drive on all of Island 5's bridges.
Trucks can drive on all of Island 5's bridges.
Completed all levels with trucks.
Completed all optional levels.
Cars can drive on all of Island 4's bridges.
Cars can drive on all of Island 3's bridges.
Trucks can drive on all of Island 4's bridges.
Score is 1,000,000 points or higher.
Trucks can drive on all of Island 3's bridges.
Score is 500,000 points or higher.
Cars can drive on all of Island 2's bridges.
Trucks can drive on all of Island 2's bridges.
Built a bridge which can support trucks for 15,000 less than specified.
Built a bridge which can support trucks for 20,000 less than specified.
Built a bridge which can support trucks for 25,000 less than specified.
Cars can drive on all of Island 1's bridges.
Trucks can drive on all of Island 1's bridges.
Score is 100,000 points or higher.
Built a bridge which can support trucks for 10,000 less than specified.
Built a bridge which can support trucks for 3,000 less than specified.
Built a bridge which can support trucks out of wood alone, even though other materials were available.
25 failed simulations in a row for the same bridge.
Ran a level simulation although not one single element had been built.
One vehicle reached the opposite side of the bridge safely, the other did not.
Bridge completed although at least 1 part broke.
Did not build the 1st Level to specification!
Collect all trophies to unlock the platinum trophy. Let's get building!
Cars can drive on all of Tiltin North's bridges.
Cars can drive on all of Tiltin West's bridges.
Cars can drive on all of Tiltin East's bridges.
Trucks can drive on all of Tiltin North's bridges.
Trucks can drive on all of Tiltin West's bridges.
Trucks can drive on all of Tiltin East's bridges.
Tank trucks can drive on all of Island 4's bridges.
Tank trucks can drive on all of Island 5's bridges.
Tank trucks can drive on all of Tiltin North's bridges.
Tank trucks can drive on all of Tiltin West's bridges.
Tank trucks can drive on all of Tiltin East's bridges.