I have done this, and give below all the occurrences of "bishop" found in Bible Gateway in the Authorised Version, with the Modern English Version of the same verses. The word "bishop" is rendered "overseer" in the MEV; the original Greek meaning. That such a rendition is justified is proved beyond cavil by the first example below, where the AV gives the hopelessly anachronistic "bishopric" in a citation from Psalms. The AV used the word in contexts in which not a bishop in the later sense, but a mere leader of a congregation, is implied.Only in some translations, such as the KJV. Strangely, translations all originating with brands of Christianity that had bishops when those translations were made. Non-episcopal translations use terms such as "overseer", "church official", "elder", etc. (and equivalents in languages other than English) in the passage from 1 Timothy quoted.
ETA: if you look at a comparative site such as https://www.biblegateway.com/, it's also noticeable that, across languages, the use of the word "bishop" or equivalents diminishes the newer the translations get.
Moreover, Paul addressed his letters not to any named monarchical individual, but to the congregations of the churches to which he wrote them. (Assuming that his works are not fictions fabricated centuries later by packs of insane liars, as a hoax.) Timothy and Titus are of course no longer attributed to Paul.
In the last passage the translation "bishop" is ludicrous in modern English. It must mean "overseer" or the like, as in the later meaning of "Bishop", a church can have one, but a soul can't.Acts 1:20
KJV/AV For it is written in the book of Psalms, Let his habitation be desolate, and let no man dwell therein: and his bishoprick let another take.
MEV For it is written in the Book of Psalms, ‘Let his habitation become desolate,
and let no one live in it,’ and, Let another take his office.
Philippians 1:1
KJV/AV Paul and Timotheus, the servants of Jesus Christ, to all the saints in Christ Jesus which are at Philippi, with the bishops and deacons:
MEV Paul and Timothy, servants of Jesus Christ, To all the saints in Christ Jesus who are at Philippi, with the overseers and deacons:
1 Timothy 3:1
KJV/AV This is a true saying, if a man desire the office of a bishop, he desireth a good work.
MEV This is a faithful saying: If a man desires the office of an overseer, he desires a good work.
1 Timothy 3:2
KJV/AV A bishop then must be blameless, the husband of one wife, vigilant, sober, of good behaviour, given to hospitality, apt to teach;
MEV An overseer then must be blameless, the husband of one wife, sober, self-controlled, respectable, hospitable, able to teach;
Titus 1:7
KJV/AV For a bishop must be blameless, as the steward of God; not selfwilled, not soon angry, not given to wine, no striker, not given to filthy lucre;
MEV For an overseer must be blameless, as a steward of God, not self-willed, not easily angered, not given to drunkenness, not violent, not greedy for dishonest gain,
1 Peter 2:25
KJV/AV For ye were as sheep going astray; but are now returned unto the Shepherd and Bishop of your souls.
MEV For you were as sheep going astray, but now have been returned to the Shepherd and Guardian of your souls.