Wish in Chinese / Japanese...

願望 means desire, wish, or aspiration in Chinese and Japanese.

This means "To bring flourishing peace and security to the world (our current era)."

It's really a wish that a new door leading to peace and prosperity could be opened to mankind.

Character and word breakdown:
啟 to open; to start; to initiate; to enlighten or awaken.
盛世 a flourishing period; period of prosperity; a golden age.
開 to open; to start; to turn on.
太平 peace and security; peace and tranquility; peace; tranquility.
I don't really like to do breakdowns like this, as the words altogether create their own unique meaning (encompassed in the main title above). Please take that into consideration.

南山之壽 is a wish for long life for someone. The first part of this Japanese phrase is, "Nan Zan," which literally means "south mountain." This mountain is one of good wishes, good fortune, and prosperity. The title is often used as a salutation of good wishes.

The third Kanji is just a connector, and the last Kanji means long life or longevity.

I guess you could translate this phrase as "May your life be as long as Nan Zan is tall."

This is a phrase that means "May you have good fortune as great as the eastern oceans, and may your life last as long as the southern mountains."

In ancient Chinese mythology, the eastern oceans and southern mountains are where God resides (basically it is the same as saying "heaven"). So it's like saying, "May your good fortune and life be as vast as the heavens."

There is also a longer, 14-character version of this phrase. Also, this can be cut into two scrolls (with half the phrase on each side - great for hanging on either side of a doorway). Just let me know if you'd like a special version (there is an additional cost).

Besides "to hope" this also means "to wish for" or "to desire."

It can also mean expectation or aspiration depending on context.

Note: Also considered to be one of the Seven Heavenly Virtues.

See Also:  Faith | Desire

望 holds the ideas of ambition, hope, desire, aspiring to, expectations, looking towards, to gaze (into the distance), and in some context full moon rising.

望 is one of those single characters that is vague but in that vagueness, in also means many things.

望 is a whole word in Chinese and old Korean but is seldom seen alone in Japanese. Still, it holds the meanings noted above in all three languages.