とは[限「かぎ」]らない => Its not really A N2
Information, Report
たびに => Every time N3
Time, Situation
びる => Seems A, becoming A, acting like A N1
Adjectival, Descriptions
の[上「うえ」]では => As… N4
Situations and Experiences
に[限「かぎ」]らず => Not only A, but B also N2
(Not)only, (Not) even
とは[裏腹「うらはら」] => Contrary to A, opposite of A, ... N1
Contrast/Surprise
かぎり/ないかぎり => While A is the case/still true N2
Conditional, While
かぎりだ => Very A N1
Degree/ Level/Amount
とはいえ => Even though A, although it is said that A N1
Contrast/Surprise
[上「うえ」]は => Because of A, B can't be helped/is expected N2
Reason, Result, Response
さえ/にさえ/でさえ => Even N3
Not only, Not even
に[限「かぎ」]って/に[限「かぎ」]り => Only A (A is a special condition) N2
(Not)only, (Not) even