I know that throughout the Bible Angels met with humans for very specific reasons. An obvious example can be found in Luke 1:26-38. Gabriel speaks to Mary and informs her she will give birth to a son who is to be named Jesus. Do Angels still visit us on earth and interact with humans today?
They certainly exist, they exist in the past, present and future. The Bible speaks of them in all three tenses to the last age of man.
Do they interact with humans today? I can see no reason they would not, but it is not an absolute thing, where the Bible says this is the way it is exactly, as far as when and how they interact with men.
My best guess is that they interact all the time, they seem to deliver messages a lot, I suspect they still do. I have read and heard stories and perhaps had a few interact with me and I never knew it. They can appear like men and save your life. Carry you over a mountain pass through snow and then disappear.
Hebrews 13:2 reminds us to show love and hospitality towards all, "for in doing so, some have entertained angels," unaware. When Samsons parents were told they were going to have a child, they too were unaware that they were in the presence of an angel, until after they sacrificed, the angel went away dramatically revealing what he was.
There is nothing to suggest that angels no longer visit Earth*, but nothing says that says we will recognize them as such when they do.
*ok, possibly one could say that because we have the Bible, God no longer requires messengers (and by definition an angelos' job is a messenger) but that would just be speculation.
No angels do not still intervene in the world today. If every Christian in the world had a Guardian Angel, bad things would not happen to any Christian because they would be protected. The Bible also says that the sole purpose of the creation of angels was for them to worship God, not protect his people.
As for the "stories" of angels that help you in the form of a human, what's to say that isn't a person full of the Holy Spirit? What happens when the person is then suddenly gone? In Acts, the spirit teleported Philip to speak to the Ethiopian Eunuch, then he teleported him back to his home immediately.
Certainly Angels would exist even today, as well have the same authority God has intended for them. No your likely not going to notice them and if u think u do u may consider it the possibility u just saw a demon. Demons would hope to allude you from the truth and in doing so will attempt to taint the faith in regard to what u believe rather than attempt to discredit it altogether. Just because you have a Guardian Angel doesn't make you exempt from bad things. If it did we wouldn't need prayer. This is how God answers our prayers many times by sending our angels to intervene when truly necessary. And remember that just because a Guardian Angel is appointed to you that I you have no faith then you also receive very little of any assistance. However, should someone else pray for you it exists the great possibility that the unfaithful may be influenced by their Guardian Angel. Interesting topic and wondrous to think about. When you pray to God please don't discount these facts and watch miracles happen in your life as they continue to happen in mine. Simply put, a prayer answered in any form is a miracle of intervention by our Heavenly Father who really does care when we need him. Not so much to the frivolous requests. Think about your prayer before you make the request so it is meaningful and not in vain.