Gil-Galad: Gil-Galad is a perfect example of a Forgotten Elf. He was in the movie for about five seconds, with about, let's see, zero lines. Not so in the books. He was like a mentor and a father to Elrond Half-Elven after Earendil and Elwing departed over the Sea. He was the Keeper of the Elven-Ring Vilya, which passed on to Elrond before he died. He was the one who led the armies against Sauron in the Last Alliance of Men and of Elves, where he was slain.
Gil-Galad was an Elven-King
Of him the harpers sadly sing
The last whose realm was fair and free
Between the mountains and the Sea...
But long ago he rode away
And where he dwelleth, none can say
For into darkness fell his star
In Mordor, where the shadows are.
Luthien Tinuviel: Luthien wasn't even in the movie at all. Poor her. She was Arwen's great-great grandmother, and was like her descentant in more than just looks. Luthien fell in love with Beren, a mortal, but her father, King Thingol of Doriath, didn't approve of a Human and an Elf being wed. So he gave Beren many hard and impossible tasks, trying to kill him. But Luthien always came to help him through it, and they always conquered. But Beren became mortally wounded and died in the arms of his love. After that, Luthien's spirit no longer wished to live, and she went to the Elven-home, and to Mandos, the Vala to which all the spirits's of the slain Elves go. And then she begged Mandos to let her and Beren both return to Middle-Earth and stay together. Mandos asked the other Valar, and they decided this: Luthien could either stay in Arda and live forever in the land of the Elves, or to return to Middle-Earth and there, she and Beren could be married and live together for one lifetime, and she must abide by the Doom of Men: death. She "chose a mortal life", and for a while she and Beren lived in love, and in the end they died together. And for thousands of years later, the peoples of Middle-Earth said that sometimes, during the twilight hour, Beren and Luthien could be seen dancing, togther forever more.