IsPlayerMovingForward/Backward/Left/Right
IsKeypressed functions
Tap/Hold/HammerKey functions
Tap/Hold/HammerControl functions
GetFirstRef/GetNextRef
While/Loop
GetEquippedItem
I've implemented the input functions (IsKey/ControlPressed, Tap/Hold/ReleaseKey/Control) alrieady, although the Hammer functions aren't implemented as no one really used them in OBSE (so we didn't port them to FOSE.) I've also implemented GetEquippedObject already.
The looping and ref walking functions are already in the list in the OP (as were the functions I implemented you list above).
The IsInAir and IsPlayerMovingXXX functions are not something we've ever implemented (to my knowledge). As such I can pretty much guarantee they will not be in the first version. We'll have to figure out how to implement them.