It is very possible that I've missed something, but so far as I can see the game mechanics effects of these modes are:
AR: matrix initiative is reaction+intuition+1d6, no bio-feedback damage, can jack out without dump-shock
VR (cold-sim): matrix initiative is intuition+dataprocessing+2d6, bio-feedback damage is stun, dumpshock (if not first going to AR) is 3s, and since your senses are totally wired to VR you cannot effectively move around (not explicitly mentioned, but a reasonable extrapolation)*
VR (hot-sim): matrix initiative is intuition+dataprocessing+3d6, bio-feedback damage is physical, dumpshock (if not first going to AR) is 3p, and since your senses are totally wired to VR you cannot effectively move around (not explicitly mentioned, but a reasonable extrapolation)*
I didn't find any other dice pool modifiers or edge effects
*There is no mention of loss of motor control, but doing almost anything with no sensory feedback is extremely hard. Still, as written, I could imagine something like flapping an arm around as a signal, or having a syringe in your hand, the tip resting near your thigh, and being able to jab it into yourself.
Did I miss anything?