The following apply to all -

speed - all excluding QB + K
strength - as above
agility - as above
stamina - all (Although I dont see much difference for K + G + KR + STCB

Blocking - OL + TE + STCB (Although I see little difference for STCB)
Tackling - DL + LB + CB + SF + G
Catching - WR + TE (Maybe CB + SF + LB but I see little difference)
Passing - QB
Carrying - RB + KR (Maybe QB also but they never run or fumble much)
Positioning - WR + TE (I'm sure all defensive players would need this also)
Vision - QB + MLB + SF (I'm sure WR + TE + all defensive players would need this also)
Footwork - RB + OL + KR

Does carrying apply to WRs, TEs and returners after catch? - KR yes, others no.