A bit of correction: the version you'll most likely see being used across the Church of England nowadays is NRSV. It's the scholarly translation.

NIV is the preferred translation for the low-church side, the evangelicals, so definitely won't be used by the bells-and-smells high church crowd. KJV is preferred by a niche who also prefers the Book of Common Prayer liturgy over Common Worship. Usually this is either an older population, a certain ethnic subgroup with calcified traditions, or old-school low church folks (so not modern evangelicals) who prefer the old ways and even the Thirty-Nine Articles.