Isaiah 15:9 (Dimon)
For the waters of Dimon shall be full of blood: for I will bring more upon Dimon, lions upon him that escapeth of Moab, and upon the remnant of the land.
Isaiah 16:14 (Moab)
But now the LORD hath spoken, saying, Within three years, as the years of an hireling, and the glory of Moab shall be contemned, with all that great multitude; and the remnant [shall be] very small [and] feeble.
Isaiah 17:3 (Syria)
The fortress also shall cease from Ephraim, and the kingdom from Damascus, and the remnant of Syria: they shall be as the glory of the children of Israel, saith the LORD of hosts.
Isaiah 37:4 (Judah), 31 (Judah), 32 (Jerusalem)
It may be the LORD thy God will hear the words of Rabshakeh, whom the king of Assyria his master hath sent to reproach the living God, and will reprove the words which the LORD thy God hath heard: wherefore lift up [thy] prayer for the remnant that is left.
[That verse (above) is in reference to the remnants of Judah in the time of king Hezekiah. Apparently Hezekiah feared the Assyrians (to which he was nevertheless allied). He sent representatives to the holy man and prophet, Isaiah, asking him to pray to his (Isaiah's) God -- for Judah. Isaiah then later makes reference to Hezekiah's god (which is obviously not the same entity). Isaiah also preaches to the king, and instructs him to pray to the Almighty, which he does. The verses then explain that Judah was spared from destruction by the Assyrians.]
And the remnant that is escaped of the house of Judah shall again take root downward, and bear fruit upward:
For out of Jerusalem shall go forth a remnant, and they that escape out of mount Zion: the zeal of the LORD of hosts shall do this.
Isaiah 46:3 (including the entire chapter)
Bel boweth down, Nebo stoopeth, their idols were upon the beasts, and upon the cattle: your carriages [were] heavy loaden; [they are] a burden to the weary [beast].
They stoop, they bow down together; they could not deliver the burden, but themselves are gone into captivity.
Hearken unto me, O house of Jacob, and all the remnant of the house of Israel, which are borne [by me] from the belly, which are carried from the womb:
And [even] to [your] old age I [am] he; and [even] to hoar hairs will I carry [you]: I have made, and I will bear; even I will carry, and will deliver [you].
To whom will ye liken me, and make [me] equal, and compare me, that we may be like?
They lavish gold out of the bag, and weigh silver in the balance, [and] hire a goldsmith; and he maketh it a god: they fall down, yea, they worship.
The bear him upon the shoulder, they carry him, and set him in his place, and he standeth; from his place shall he not remove: yea, [one] shall cry unto him, yet can he not answer, nor save him out of his trouble.
Remember this, and shew yourselves men: bring [it] again to mind, O ye transgressors.
Remember the former things of old: for I [am] God, and [there is] none else; [I am] God, and [there is] none like me,
Declaring the end from the beginning, and from ancient times [the things] that are not [yet] done, saying, "My counsel shall stand, and I will do all my pleasure:
"Calling a ravenous bird from the east, the man that executeth my counsel from a far country: yea, I have spoken [it], I will also bring it to pass; I have purposed [it], I will also do it.
"Hearken unto me, ye stouthearted, that [are] far from righteousness:
"I bring near my righteousness; it shall not be far off, and my salvation shall not tarry: and I will place salvation in Zion for Israel my glory."
[Isaiah Chapter 45 is also excellent, as is the entire book.]