Physical punishments in the Bible

Western people are shocked by the stonings of women in Islamic countries and the plan to blind the eye of a man in hospital who had blinded someone else made top stories. Not always do people know that some of these cruel practices do have background in the holy Bible and more specifically the Torah.

(Not all practices in Sharia, though, for as far as I know amputating the hand of a thief comes to Sharia from other sources and is not mentioned in Torah.)

Islamic Sharia law maintains Byzantine period legislation and punishments and is applied in many Islamic countries like Saudi Arabia, Iran and Sudan while some other Moslem countries apply Sharia law in more restricted manner, for example Turkey, Syria and Jordan.

In my opinion Sharia law reflects common practices in first millennium Mediterranean world, Justinian Law Code with its Roman roots, but they are strongly modified by Islamic faith. An essential element in the legal heritage is the Judeo-Christian religious law is Torah known in 6th century Mecca and Medina.

Torah itself reflects Bronze Age and Iron Age legal systems and some elements in it can be compared with Hammurabi in Mari or Hittite Laws in Anatolia and so on. But this heritage is strongly modified in the light of the religion of Israel and the special requirements of that society.

I have no doubt that Torah is revelation by the God of Israel but it uses real language of the time and talks about real issues that also other nations faced at those times in Ancient Near East.

Harsh physical punishments in the Bible include commandments that are reminiscent of Sharia law and may be the original source at least in some cases.

Public burning to death (this was later done by pouring melted metal to the mouth so that the body of the law breaker would survive to the day of resurrection)
And if a man take a wife and her mother, it is wickedness: they shall be burnt with fire, both he and they; that there be no wickedness among you.
Lev 20:14  

Public stoning of underage boys disobedient to their fathers
If a man have a stubborn and rebellious son, which will not obey the voice of his father, or the voice of his mother, and that, when they have chastened him, will not hearken unto them: Then shall his father and his mother lay hold on him, and bring him out unto the elders of his city, and unto the gate of his place; And they shall say unto the elders of his city, This our son is stubborn and rebellious, he will not obey our voice; he is a glutton, and a drunkard. And all the men of his city shall stone him with stones, that he die: so shalt thou put evil away from among you; and all Israel shall hear, and fear.
Deu 21:18-21   

Hanging
And if a man have committed a sin worthy of death, and he be to be put to death, and thou hang him on a tree: His body shall not remain all night upon the tree, but thou shalt in any wise bury him that day; (for he that is hanged is accursed of God;) that thy land be not defiled, which the LORD thy God giveth thee for an inheritance.
Deu 21:22-23

Public stoning of adulterous woman or male or female witch
A man also or woman that hath a familiar spirit, or that is a wizard, shall surely be put to death: they shall stone them with stones: their blood shall be upon them. 
Lev 20:27 

Physical mutilation - an eye for an eye a tooth for tooth
And if a man cause a blemish in his neighbour; as he hath done, so shall it be done to him; Breach for breach, eye for eye, tooth for tooth: as he hath caused a blemish in a man, so shall it be done to him again.
Lev 24:19-20 
In general we observer, that death sentences were given in those days on many crimes that would not be so judged today in Western judiciary system but possibly still in Sharia, for example homosexual act or the execution of a bride who is not virgin.

The Jewish rabbis, experts of the Law of Moses, have interpreted and applied the regulations on death sentences so that modern Judaism is not giving such harsh sentences. Some rabbis still want to apply the Iron Age War laws as is, but why then not the entire Law of Moses?

Torah makes difference between punishing slaves and free men.

The King of Israel was executed on the cross like a slave or rebel - the only ones against whom this horrible method of torture killing was applied. He was judged guitly of death as a blasphemer of the God of Israel.

And there arose certain, and bare false witness against him, saying, We heard him say, I will destroy this temple that is made with hands, and within three days I will build another made without hands. But neither so did their witness agree together. 
And the high priest stood up in the midst, and asked Jesus, saying, Answerest thou nothing? what is it which these witness against thee? 
But he held his peace, and answered nothing. Again the high priest asked him, and said unto him, Art thou the Christ, the Son of the Blessed?  
 And Jesus said, I am: and ye shall see the Son of man sitting on the right hand of power, and coming in the clouds of heaven.  Then the high priest rent his clothes, and saith, What need we any further witnesses? Ye have heard the blasphemy: what think ye? 
And they all condemned him to be guilty of death. 
And some began to spit on him, and to cover his face, and to buffet him, and to say unto him, Prophesy: and the servants did strike him with the palms of their hands.
Mark 14:57-65