The Bible has tons of accounts where angelic beings paid a visit to our physical realm to carry out specific assignments. Concerning angels, Satan himself, while tempting Jesus in the desert, cited a promise from Psalm 91:
5 Then the devil took him to the holy city and set him on the pinnacle of the temple 6 and said to him, “If you are the Son of God, throw yourself down, for it is written,
“‘He will command his angels concerning you,’
“‘On their hands they will bear you up, lest you strike your foot against a stone.’”
7 Jesus said to him, “Again it is written, ‘You shall not put the Lord your God to the test.’” 8 Again, the devil took him to a very high mountain and showed him all the kingdoms of the world and their glory. 9 And he said to him, “All these I will give you, if you will fall down and worship me.” 10 Then Jesus said to him, “Be gone, Satan! For it is written,
“‘You shall worship the Lord your God and him only shall you serve.’”
11 Then the devil left him, and behold, angels came and were ministering to him.
[Matthew 4:5-11, ESV]
In Acts 10 we find another example, when an angel visited Cornelius in a vision:
At Caesarea there was a man named Cornelius, a centurion of what was known as the Italian Cohort, 2 a devout man who feared God with all his household, gave alms generously to the people, and prayed continually to God. 3 About the ninth hour of the day he saw clearly in a vision an angel of God come in and say to him, “Cornelius.” 4 And he stared at him in terror and said, “What is it, Lord?” And he said to him, “Your prayers and your alms have ascended as a memorial before God. 5 And now send men to Joppa and bring one Simon who is called Peter. 6 He is lodging with one Simon, a tanner, whose house is by the sea.” 7 When the angel who spoke to him had departed, he called two of his servants and a devout soldier from among those who attended him, 8 and having related everything to them, he sent them to Joppa. [Acts 10:1-8, ESV]
And the most clear angelic intervention in my opinion took place in the liberation of Peter, in Acts 12:
6 Now when Herod was about to bring him out, on that very night, Peter was sleeping between two soldiers, bound with two chains, and sentries before the door were guarding the prison. 7 And behold, an angel of the Lord stood next to him, and a light shone in the cell. He struck Peter on the side and woke him, saying, “Get up quickly.” And the chains fell off his hands. 8 And the angel said to him, “Dress yourself and put on your sandals.” And he did so. And he said to him, “Wrap your cloak around you and follow me.” 9 And he went out and followed him. He did not know that what was being done by the angel was real, but thought he was seeing a vision. 10 When they had passed the first and the second guard, they came to the iron gate leading into the city. It opened for them of its own accord, and they went out and went along one street, and immediately the angel left him. 11 When Peter came to himself, he said, “Now I am sure that the Lord has sent his angel and rescued me from the hand of Herod and from all that the Jewish people were expecting.” [Acts 12:6-11, ESV]
Question: Which denominations believe that angels still intervene in our physical realm today?