LTSpice Instrumentation amplifier simulation output
The output of the AD8222 simulation makes sense.  250Ω for R1 gives you a gain of about 200.  Input signal is 1V.  The output would have to be 200V, and it gets clipped near the supply rails.
Lower the input amplitude, and/or the gain, and you should see a sine wave at the output.

The output of the LT1920 simulation doesn't readily make sense to me.  The gain and the input are roughly the same, so I would expect it to swing and clip like the AD8222 simulation.  Hopefully someone can spot the error there.

edit:  The negative input pin (In-) in the LT1920 schematic looks odd.  Maybe it not connected to ground.