Verses with the word anointing in the New Testament (2 verses):

James 5:14
Is any sick among you? let him call for the elders of the church; and let them pray over him, anointing him with oil in the name of the Lord:

1 John 2:27
But the anointing which ye have received of him abideth in you, and ye need not that any man teach you: but as the same anointing teacheth you of all things, and is truth, and is no lie, and even as it hath taught you, ye shall abide in him.