Here are specific prayer requests made by New Testament Apostles that are key for us today to intercede for apostles & saints.

Travel

For God whom I serve in and with all my spirit in the preaching of the Gospel of His Son is my witness as to how unceasingly I make mention of you always in my prayers making request if perhaps now at last by the will of God I may be prospered and succeed in coming to you

To be received

Now I urge you brethren by our Lord Jesus Christ and by the love of the Spirit to strive together (contend vigorously) with me in your prayers (earnest wrestling) to God for me, that I may be delivered (rescued) from those who are disobedient and unbelievers in Judea and that my service (ministry) for Jerusalem may prove acceptable to the saints and be graciously received

Joy

So that I may come to you in joy with a happy heart by the will of God and find a refreshing interval of rest in your company

Burden

For we do not want you to be unaware brethren of our affliction and oppressing distress which came excessive to us in Asia, that we were burdened excessively, beyond our strength and crushed, so that we despaired even of life; indeed, we had the sentence of death within ourselves in order that we should not trust in ourselves but in God who raises the dead

Danger

Who delivered us from so great a peril of death and will deliver us, He on whom we have set our hope. And He will deliver us from danger and destruction and draw us near to Himself, you also joining in helping us through your prayers, that thanks may be given by many persons on our behalf for the favor bestowed upon us through the prayers of many

Utterance

And pray on my behalf that fearless freedom of utterance may be given to me in the opening of my mouth to make known with boldness the mystery of the Gospel

Spreading of the Word

Finally brethren pray for us that the word of the Lord may spread rapidly (run its course) and be glorified and triumph just as it did also with you

Opposition