も[構「かま」]わず => Without considering A N2
Considering, Concerning
や、やいなや => As soon as A, B N1
Time, Situation
といわず => Not just A, not just B, but N1
(Not)only , (Not) even
を[問「と」]わず => Disregarding A; Without relation to A N2
Considering, Concerning
かかわらず/かかわりなく => Even though A, Regardless of A; without relation to A N2
Based, Focused, Depending on
やら~やら => A, B, ... (examples from a list) N2
Lists, Examples
いかんにかかわらず,いかんによらず => Regardless of A (A is a reason, response, result) N1
Based/focused/depending on
にもかかわらず => Although A, despite A, even though A, in spite of A N2
Contrast,Surprise
てやる => Do for someone N4
Give and take advice
やる => Give B to A N4
Give and take advice
やすい => A is easy to do N4
Verb Suffixes
わ => Very, so, already N5
Particles