Do other Christian denominations/groups have an equivalent to the "burning in the bosom" of Mormonism?

Here I wanted to provide a Jehovah's Witness viewpoint. Incidentally we had our mid-week meeting yesterday (on Zoom) that had led me to think along the lines in this question.

As a side note, Jehovah's Witnesses do not have a person or a group of people who are considered somehow infallible or to be "prophets" or "scholars". We also do not have any book, except the Bible, that is viewed as inspired by God.

So, back to that meeting mentioned earlier. Our mid-week meeting currently includes a study of the book "Pure Worship of Jehovah—Restored At Last!" which discusses the Bible book of Ezekiel.

(If anyone is interested, the schedules for this meeting are published in the "Our Christian Life and Ministry​—Meeting Workbook" publication here on jw.org. The book that was studied can be found here; the parts that were discussed in yesterday's meeting were paragraphs 1-8 from chapter 17.)

My reason for bringing this up is that the studied paragraphs considered the identity of "Gog of Magog", mentioned in Ezekiel chapter 38. An earlier view of Jehovah's Witnesses had been that "Gog of Magog" referred to Satan.

The studied paragraphs stated that further consideration of Ezekiel chapter 38 had led to an adjustment in the earlier understanding. Paragraph 4 explained what the earlier view was and paragraphs 5 and 6 provided the reasoning behind the adjustment.

(In short, the reasoning why "Gog of Magog" is likely not Satan was based on Ezekiel 39:4 and Ezekiel 39:11, together with a consideration on why these verses would reasonably refer to humans.)

The points to be made are that

• The reasoning is open and we are all going through the material explaining that reasoning.
• The reasoning does not include references to some human authority (like some church father who lived a thosand years ago) according to whom some specific understanding should be correct.

This leads to the point that rather than looking for a feeling to indicate truthfulness, we recommend studying the Bible to see what it says on a matter.

One reason for this is Bible's view that the heart is "treacherous" (Jeremiah 17:9) and as such, an unreliable guide. This is why Proverbs 28:26 (KJV) says "He that trusteth in his own heart is a fool".

We do however view it as appropriate to pray for faith. But just like a man who prays that he can provide for his family should himself also put an effort toward that, a man asking for faith would also need to do something toward his own faith.

So although it is Biblical to pray for faith, as is said in this old Watchtower article, "true faith is not to be confused with blind credulity" but "follows from the things heard" (Romans 10:17). This is why the Beroean Christians were portrayed in a good light in Acts 17:10-12, as they did not just simply believe, but put forth effort in checking whether the things claimed were so.

It is kind of like the work of an archaeologist who digs in some area and then draws conclusions from it. For Jehovah's Witnesses the Bible is the most important "dig", so to speak.

This article talks about Jehovah's Witnesses view on how to increase ones faith and this article about how to find the true religion. Although the latter article refers to truth "striking a responsive chord" in a listener, the emotion is not the basis of the listeners conviction.

In the methodist tradition there is John Wesley. The story goes how he reluctantly attended a meeting in Aldersgate. Someone read from Luther's Preface to the Epistle to Romans. About 8:45 p.m. "while he was describing the change which God works in the heart through faith in Christ, I felt my heart strangely warmed. I felt I did trust in Christ, Christ alone for salvation; and an assurance was given me that He had taken away my sins, even mine, and saved me from the law of sin and death." (Maddox, Randy L. Aldersgate Reconsidered. Nashville, Tennessee: Kingswood Books, 1990)

See Luke 24

³¹ And their eyes were opened, and they knew him; and he vanished out of their sight. ³² And they said one to another, Did not our heart burn within us, while he talked with us by the way, and while he opened to us the scriptures?

There are others but this is the one that immediately comes to mind. Contrary to what has been said, this was not the result of human effort or ritual but, that of the Holy Spirit through the Word of God - in this case, Christ himself, being the Word (John 1)