てください => please do N5
てくださる => to give N4
Benefit
させてくれる => Let me... N4
Allow
~てください => Please do ~ N5
Asking and Telling
させておく => Leave it alone, don't interfere N2
Position, perspective
させてください/させてもらえますか/させてもらえませんか => please let me do N3
て[下「くだ」]さる => Do for someone N4
Give and take advice
もくされている => to be considered as (A) N3
Heard
てください   => let, to ask someone to please do ~ N5
Invite and advise
...てあげてください => to do for; to do a favor N4
Benefit
させていただく => Ask for permission, permission to do something N3
Respectful, humble
お…くださる => Please do ~ (honorific) N3
Respectful, humble