Andy Ihnatko's pick on MacBreak Weekly 412 is the F-Sim Space Shuttle app for iOS. This simulates the Space Shuttle approach and landing with incredible detail and accuracy. Each landing attempt only takes a few minutes, then you can see how you did and how you can improve the next landing.
You can choose whether the simulation starts aligned with the runway at 10,000 feet, or up to 50,000 feet before banking into the alignment cone. You control the Orbiter's pitch and roll axes by tilting the iPhone or iPad, or you can switch to on-screen analog sticks. To help get you started, F-Sim Space Shuttle has a built-in autopilot demo and tutorials. Beginners can also opt to use a visual aid to see the desired approach path.
As your skill level improves, you can take control of more things like the rudder, speed brake, gear, and chute, which are usually handled by the autopilot. To make things more interesting, you can experiment with various weather conditions, night approaches, and even emergency scenarios or system failures. Then at the end of each flight, you can watch a replay of the landing from multiple angles.
To hear more about the F-Sim Space Shuttle, check out MacBreak Weekly episode 412.