On a high roof just northwest of the clocktower you’ll see a pressure pad. Face west and look down. The pad opens a trap door below. Jump down before it closes and use your explosive gel to reach the trophy.
You need to touch all three of the panels surrounding this cage BEFORE you touch the ground. Glide into the highest panel from the opposite building, then press A/Cross to push off and glide in the opposite direction. Touch the next panel, then again press A/Cross to push off, making sure to end your flight on the third and final panel.
Three spurts of explosive gel detonated simultaneously will do the trick here.
In the political prisoner shanty town, look for some soft wood panelling. Since it’s at ground level, you can just punch through.
You’ll need to use your disruptor: firearm jammer on this TYGER sentry gun. After that just slap some explosive gel on the right wall to access the trophy.
You’ll need to chuck your batarang at each panel when it lights up. They light up in a certain sequence, so study the pattern and try to anticipate.
You may spot this trophy long before you can reach it. You need to create an ice platform using the freeze blast, and then use your grapnel to pull yourself over to the trophy.
On the church roof, smack dab in the middle. You only need the cryptographic sequencer to use hack the nearby panel.
In the alley behind the church you’ll see four Riddler panels. Stepping on the first unlocks the trophy cages above, but you need to somehow get over the other three red panels or the cage will close again. Use the line launcher and attach it to the far left wall (the fence directly in front of you won’t work). Turn around and grapple up to claim the trophy.
This one is located south west of the church. Use the remote electric charge to disable the electricity, then use your explosive gel on the left wall.