Yes, they still exist and live in large communities across Northern Iraq, southeastern Turkey, eastern Syria and Israel. They have a population of over 4 million and speak their own unique language called Aramaic, which is very similar to Hebrew.
They are the Indigenous Christian people of the countries listed above (besides Israel) and are pushing for an independent Assyrian state, with Nineveh as the capital. Many have also migrated to Europe, US and Australia in recent years after the constant attacks on the Christian minorities living in the Middle East.
Yes, but not the way you think. The Assyrian culture has vanished more or less. The people today who call themselves Assyrians are a Christian group in Northern Iraq and Southern Syria who are honest and gentle individuals. They are no longer bloodthirsty, ethnic cleansers like the Assyrians of 600 BCE and are, in fact, a repressed minority in the countries they inhabit.
yes there are Assyrians that are still alive. But, ofcourse, they are only few in number now... ~Alekz Quiogue
The Assyrian heartland was located in today's northern Iraq.
there military/conquest
The battering ram.
The Assyrian language as you call it does not exist. The Ancient Assyrians are extinct and the language they spoke was Akkadian. The people that call themselves Assyrian today are actually of Aramean heritage and the language they all speak is forms of Aramaean/Aramaic and nothing else.
Assyria
Yes, and they still exist now. I'm Assyrian.
Around 3.3 million today.
Glorifying the king, hunting, and war
Assyrian Kings claimed Divine Right, e.g. that they were appointed by the gods to rule over the people. They used their military prowess as evidence of this power.
The Assyrian Empire had the strongest and most deadliest military force of Ancient Mesopotamia.
Yes. They do exist today (2014).
Yes it does exist today, but it did not exist until the 1920's.