ては[初「はじ」]めて => Only after A did (I) B N3
Time, Situation
を[込「こ」]めて => Put A into it N2
Will, Decision, “Doing”
[命令「めいれい」] => Do A (command) N4
Can, Should, Must
てくれる => Do for someone. N4
Give and take advice
てしまう => Did something N4
Secondary Verb
てくれてありがとう => Thank you for doing A N4
Honorifics
てまで => To the point of A N2
Degree, Level, Amount
につれて => As A changes, B changes (together) N2
Information, Report
ていられない => Cannot continue to A N2
Needs, Requirements
てもかまわない => No problem N4
Can, Should, Must
を[踏「ふ」]まえて => Thinking of A N1
Based/focused/depending on
させて[頂「いただ」]きます/させてもらいます => Allow me to A N1
Miscellaneous