Theophylact of Ohrid

Joseph had not revealed himself before, but now he does a praiseworthy deed. Despite being a member of the council and a wealthy man, he boldly asks for the body of a Man who was crucified as a rebel and insurrectionist, and pays no attention to any danger, even though wealth is timid, but requests and honorably buries Him in a tomb hewn in stone, where no one else had been laid before, so that slanderers could not say that the body of another had risen.

Commentary on Luke ↗

Ancient Greek Expositor

Joseph had been at one time a secret disciple of Christ, but at length bursting through the bonds of fear, and become very zealous, he took down the body of our Lord, basely hanging on the cross; thus gaining a precious jewel by the meekness of His words. Hence it follows, And, behold, there was a man named Joseph, a counsellor.

Catena Aurea by Aquinas ↗

Ambrose of Milan

Now mystically, the just man buries the body of Christ. For the burial of Christ is such as to have no guile or wickedness in it. But rightly did Matthew call the man rich, for by carrying Him that was rich he knew not the poverty of faith. The just man covers the body of Christ with linen. Do thou also clothe the body of Christ with His own glory, that thou mayest be thyself just. And if thou believest it to be dead, still cover it with the fulness of His own divinity. But the Church also is clothed with the grace of innocence.

Catena Aurea by Aquinas ↗

Bede

A counsellor, or decurio, is so called because he is of the order of the curia or council, and administers the office of the curia. He is also wont to be called curialis, from his management of civil duties. Joseph then is said to have been of high rank in the world, but of still higher estimation before God; as it follows, A good man, and a just.

Catena Aurea by Aquinas ↗

Bonaventure

First, therefore, as to the dignity of the one burying, he says: And behold, a man. He points him out as worthy and suitable for burying Christ; on account of which he describes him by name, when he says: Named Joseph; so that, just as Joseph had nourished Christ, as is said in Matthew first: "Joseph, son of David, do not be afraid to take Mary, your wife," etc.; and again in the second chapter: "Take the child and his Mother"; so another Joseph would bury him and place him like a grain of wheat in his granary, just as that Joseph …

Commentary on Luke, Chapter 23 ↗