In the mission sexual deviants when you get to the torture chambers look in one of the hallways middle room.(first hallway i think) look for the middle room with a glass window on it. Theres a guy there but he wont really notice you run up and break the glass this will knock him out. Jump in the window quickly. Now when Daniel stops and reads the note on the wall that says due to recent incidents press L1 and R1 like your doing a regular execution when its done reading he should do an execution (note I've done this a couple of times but with the circular saw I'm pretty sure it will work with anything else though also try holding the execution and see if it does a more gory one I'm sure it will.
Though the game makes it seems like you can only do jumping executions off roofs or trucks you can do them off a pretty decent set of stairs too just so you know but it can be kinda tricky sometimes cause the red reticle might flicker on and off but thats usually cause its not a big enough jump - enjoy.
In the mission Origins there are 2 secret passages leading into the main structure. One of them is up top the roof gained by climbing the dumpster (there's also a glass shard there too) Once on the roof walk to the right ledge until the climb is small enough to grab on top then jump up the second ledge and look for a window.
The second passage is gained through the first doorway which is patrolled by a guard. Kill the guard first (it's up to you how to kill him but a jumping execution works the best from that roof) go in the door and look for the blue cabinet across from the desk with the pen. If you push it out of the way by going to the right and walking or running theres a neat little tunnel that leads straight to the main building with some helpful shadow.
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