Blessedly there is a broad consensus among Jewish, as well as Christian scholars, futurist, preterist and orthodox, regarding the identity of Daniel's four beasts.
In Daniel's chapter 7 dream we find: Daniel 7:3
And four great beasts came up from the sea, diverse one from another.Daniel 7:4
The first [was] like a lion, and had eagle's wings...Daniel 7:5
And behold another beast, a second, like to a bear...Daniel 7:6
After this I beheld, and lo another, like a leopard...Daniel 7:7
After this I saw in the night visions, and behold a fourth beast, dreadful and terrible, and strong exceedingly...In the verse below we learn that in the figurative language of a vision or dream in prophecy, a "beast" is a kingdom or empire.
Daniel 7:23
Thus he said, The fourth beast shall be the fourth kingdom upon earth, which shall be diverse from all kingdoms, and shall devour the whole earth, and shall tread it down, and break it in pieces.BEAST = KINGDOMThe
broad consensus holds that the kingdoms represented by Daniel's lion, bear and leopard, are the successive ancient kingdoms of
Babylon, Medo-Persia and Greece, followed by the fourth "terrible" beast, that is understood to be the Roman Empire.
This conclusion is reached within the
traditional continuous-historic context of prophecy. This is simply the view that bible prophecy is fulfilled steadily, as the era about which it is written gradually unfolds. This is the context in which virtually all Christians and Jews understand Old Testament prophecy.
Below are maps of these successive kingdoms.
Daniel 7:4
The first [was] like a lion, and had eagle's wings...lion - Babylon 
Daniel 7:5
And behold another beast, a second, like to a bear...bear - Medo-Persia
Daniel 7:6
After this I beheld, and lo another, like a leopard...leopard - Greece 
Daniel 7:7
After this I saw in the night visions, and behold a fourth beast, dreadful and terrible, and strong exceedingly...fourth "dreadful" - The Roman Empire
