EoTW
The Web Tightens

"This I Foretell and swear under the Light that I can say no clearer. From this day Andor marches toward pain and division. The Shadow has yet to darken to its blackest, and I cannot see if the Light will come after. Where the world has wept one tear, it will weep thousands. This I Foretell." (In a whisper, to Rand al'Thor) "This, too, I Foretell. Pain and division come to the whole world, and this man stands at the heart of it."

This has pretty much come true already, or at least is in the process of coming true

The first one she had as an Accepted has also basically come true, Rand being born made the Royal House of Andor the key to TG, or if you prefer, Elayne and Gawyn are clearly involved in TG and likely to be key players.

And her most recent one (and the only other one I recall)

ACoS
Lightnings

"The White Tower will be whole again, except for remnants cast out and scorned, whole and stronger than ever. Rand al'Thor will face the Amyrlin Seat and know her anger. The Black Tower will be rent in blood and fire, and sisters will walk its grounds. This I Foretell."

It's already coming true too ... remnants have been cast out and scorned (BA) and the Tower is now pretty much whole, or at least becoming so as of tGS. Sisters have walked the grounds of the BT, and it's probable that the BT will be rent in blood and fire very soon, Logain and Taim have already begun the process by creating factions ... nothing says it will be AS who do the rending!