It's actually indeed very peaceful.
As stated above major powers or large countries haven't gone at it since the Korean War (China/US) or WW2. That's quite a stretch.
The proxy wars continued on but have finally petered out, largely due to the end of communism I'd say.
The war against terrorism, or islamist extremism, rages on, but these are not large wars.
We are in a cold war style stasis with Iran. Pakistan and India always have knives at each other's throats.
Russia had a brief shooting war with Georgia.
North Korea is just plum crazy and you wonder when they just one day say 'f-it we're coming across.'
The US is in combat in Afghanistan soon, and when we pull out we may see a return to the Taliban, much like our departing Iraq has led to a new insurgency in Anbar, western Iraq and Syria (where Iraqi fighters have traveled to), but much of this is in the way of civil wars. Sudan, some parts of the Phillipines and other hot spots would fall into this category.
We still see occupations in Judea/Samaria (Israeli west bank) and Tibet, but Jordan abandoned its claim to the former and no one cares enough to help the latter.
Really the greatest horror we have hanging over us is the nuclear threat and its spread.
In a way we are in a mop-up phase after WW1 and WW2. It's an open question whether US forces in Europe and Afghanistan and other places are a help to peace, I think they are, I think the world still needs us, and I do like to think that our nation's foreign policy is at least aimed this way, though in the immediate impact of what we do it may not always seem like it.
We may actually be on our way to accomplishing this.