I've recently fallen in love with my binos all over again...
Suzy's list is a fine one. The DSO's noted are excellent targets.
There is another thing that bino's excel in - WIDE FIELD VIEWING!
Binos are a pair of rich field scopes. This means that despite their "stunted" aperture, their fast focal ratio can reveal detail that larger instruments can just fail to show at all. This includes bright and DARK nebulae.
With this in mind, I'll suggest four particular areas to view. A dark sky really brings out the best of the following, making binos a fantastic instrument to take if a scope is out of the question.
1: Suzy noted the globular NGC 5139, Omega Centauri. Note only is the cluster amazing on its own, but it is also surrounded by the most subtle and intricate variation in glow from the surrounding Milky Way. Fingers of dark dust, ghostly glow of unseen clusters, and if your binos are 70mm and more, Omega Centauri itself resolves into the most stunning "firework" of tiny, tiny stars.
2: The Rosette Nebula, NGC 2237, is one of the most challenging objects to view. It is huge, larger than the full Moon. But this size makes the nebula very faint that surrounds a lovely bright cluster that gives it its glow. Binoculars are a great tool to actually see this enigmatic gas and dust cloud. Without the excessive magnification of a telescope, binos concentrate the nebulous glow much more compactly. It is still a challenge, and a dark sky is a must.
3: The Table of Scorpius. This "cluster of clusters" contains some of the most massive stars in the Milky Way, large areas of nebulosity, several clusters that range from compact and super bright to large and faint, and, only seen with binos, the most spectacular patterns of dark nebulosity. The Table is centred around the bright stars Zeta 1 and Zeta 2 Scorpii. Even from light polluted areas, the Table is still a striking vista.
4: Area around M8 and M20. Here we are very close to the direction to the centre of the Milky Way. This area is highly concentrated with bright galactic background glow. Here M8 is a truely amazing object on its own, and from a dark site, can show more extensive nebulosity than a scope can. M20 is a bright small glow that has the cluster M21 very close to it. I did a sketch of this area from memory after picking myself off the ground from the sheer beauty of this area of the sky. Using my 11X70 binos from a dark site, I never imagined the amount of detail that binos can actually reveal.
Binos are a most extraordinary and underestimated powerful astronomical tool. I always take my pair, no matter what scope I may be taking with me. And if I can't take a scope, binos always come with me.
You will be most surprised.
Mental.