Batman Arkham City

Edit: This can be achieved before the end of the game. Thanks, Fallen Ad!

While you're on the way up the Wonder Tower toward the end of the game, go to the large ledge just before you grapnel up to the maintenance hatch and jump. If you can't get it during this part, try going back up after the end of the game.

The key is to hold back on your left thumbstick (or forward, if you're weird and don't invert your y-axis) from the very beginning of the jump. I didn't do this the first two times, and I failed. The problem is that the game won't let you go all the way to the ground. At some point, Batman will shoot his Grapnel and pull himself back up. So jump, pull back, and in the moments where the game makes you fly up, circle back to the left until you're facing the city again.

One more thing... get it on the way up, especially if you know where the collectibles in the tower are. Otherwise, since the game won't let you glide to ground, once you've climbed up just to get this one cheeve you have to climb back down manually, down the elevator, through the subway, etc. Kinda annoying. Save yourself the hassle and only climb the tower once. (I ended up climbing it 3 times. Grrr.)

Here's a video that I didn't make but shows how it works.

What a headache. Ready? The easiest way to do this:

Climb to the top of the Wonder Tower (the end of the game). You can do this on your way up the first time or when you're collecting the Riddler's trophies like an idiot a dozen hours after the game is over.

Get maximum height (right before the caged maintenance shaft, and right after the two protruding poles with the connecting tightrope), and jump from the ledge. Hold BACK on the thumbstick as you glide to descend slowly. Instead of doing that "fly into the distance" garbage (that is a pain in the ass), grapple boost repeatedly off of those two aforementioned poles in a continuous glide when you need more air. This is 100x easier than the other methods—after I switched methods, I did it on my first try.

The REAL easiest way to get this achievement:

Climb to the top of the central tower just before advancing to the boss fight (from inside, you have to grapple pull a ladder or something to advance - don't do that just yet). Jump off and glide. Do the "dive bomb and recover" mechanism to continually regain lost altitude. If you have made it through the AR Training exercises, then you must know how to do this (while gliding, RT to dive, pull up with LS while releasing RT). Circle the tower while diving and recovering and the achievement will be yours.

I used this method after repeatedly failing the "fly into the distance" method shown in the videos. I also tried using the grapple hook to keep me in the air, but I always ended up grappling the wrong object and it would break my flight. I tried a dive and recover in frustration and 60 seconds later, the achievement unlocked.

1)Head to the top of wonder tower and jump off
2)Fly as far away from the tower as you can (because you can't grapple anything you will instantly be turned around)
3) repeat step 2 until your minute is up

Get to highest point which will be right before the spot where strange is. Spot will overlook the church. Just glide towards the church while pulling back on the stick. When you reach the edge of the perimeter it will shoot you up in the air and turn you around. This is when you circle back to the church gliding and pulling back. It will pop after a minute of doing this.