~をかわきりに(~を皮切りに)      => One after another; starting with ~ N1
... を ... という => called; named; that ~ N4
Speaking
を限りに/限りで => starting from; the last time (ending a continued action) N1
じつをいうと => Frankly speaking N2
Story topic
ふりをする => to pretend; to act as if ~ N3
をかわきりに => Starting with A N1
Miscellaneous
を頼りに => to rely on / with the aid of something N2
を…という => to be called, said, named N3
Command, definition
ふりをする => To pretend to (be) A N3
Adjectival, Description
というより/というか => rather than ~ N3
より~ほうが => is more than N5
どうりで => indeed,it's no wonder N2
Base, base