Of course not every word uttered in times past were captured in scripture, but I feel pretty confident that the ones God wanted recorded for His purposes were. With that said... we need to really examine the office of the Prophet. Prophets did a lot more than simply tell the future. They seemed to fill the role the Holy Spirit fills today. Moses, for example, spoke with God and mediated between God and the people --- Moses presented law and exacted judgement on the Israelites when they would fail -- he also interceded for them continually pleading for mercy for them (often when they were too stiff necked to realize they needed mercy!) He also oversaw the building of the temple... he was not the priest, but as a prophet he was there to ensure that God's requests were fulfilled for the building of such a holy place.
Now Baalam on the other hand was a soothe sayer. He had many words of his own come true and come to pass. That didn't make him a prophet of God though. There has to more to the litmus test than simply stating something that comes to pass in order to be called a prophet. Again, we need to look at the actual office held, its purpose and whether the appearance, death, resurrection and ascension of Christ -- and then of course the appearance of the Holy Spirit left the office fulfilled (not obsolete) or not.
Prophets of the Old Testament and the main NT Prophet, Christ Himself, would foretell future events, but for the reason of Glorifying God. I would say if any healing takes place and if any miracles occur today the only purpose such things would have would be to glorify Jesus Christ. The work of the Holy Spirit is awesome and wonderful, and everything the Spirit does glorifies the Lord and the Lord alone... so that would be the purpose of such occurrences today.
It's a good thought provoking discussion though. I had actually attended a very Charismatic Church for several years when I was a new believer, so the things you are talking about I really understand on a personal level. Thanks for discussing this in a way that causes me to have to dig and search out the scriptures and my own heart.