I think they should. I’m sorry, but POYSC is easily the best song. EVER.
I love this classical song video The Righteous Brothers - Unchained Melody (you can hear that song in the Ghost movie).It fits so perfect i think for Wall-e X Eve in my opinion.
And ,of course,i love this song also video ELO - Just For Love It fits also in my opinion but not as good as POYSC of course.
Here is a bit of lyrics
Falling through the endless sky
The signals dance upon the twilight
Calling out to reach someone
Who waits there in the lonely night
Just for Love
Soon beyond the melting clouds
The light will shine on everyone
That waits there in the silver rain
To meet the golden sun
Here (In Your Arms) by Hellogoodbye was used for a wall-e tribute in a youtube video. it could be good!
Lol… I’m not sure if anyone checked the song I posted here a while back, Like a Star by Britt Nicole. Seriously. It’s like that song was written for the movie. Like, Britt Nicole watched WALL-E and was inspired to write the song. Even the way it sounds is electric and synthesized and the lyrics are all space-themed, even. <3
When I first heard the song, initially I just loved the way it sounded. But then I heard the lyrics in the second verse… and I’m like… that is WALL-E.
Sparks flying all around,
Electricity
Dance with me, dance with me
Ten feet off the ground
No gravity
Fly with me, fly with me.
Nrnghh I gush about this song all the time but seriously. If you want to see how much this song relates to the movie, watch this. 
(Lol no shameless plugging here… XD)
little chef
Great job dude! with the song, i mean!
“I See the Light” from Tangled is another song that I think works.
Mr. Blue Sky is like the post-arrival WALL•E song.
“Mr. Blue Sky, please tell us why, you had to hide away for so long? Where did we go wrong?”
little_chef_eva09 I’ve heard that song before and it does sound like it was written for WALL-E!
I know a song that could go good for a tribute or the end sequence specifically according to their romance:
[url]The Chemical Brothers - Swoon - YouTube
I’m love this song so much!
Sigur Ros singer Jonsi’s nasal, high-pitched and optimistic singing sounds a little like Wall-E’s voice and I think if Wall-E could sing he would sound something like Jonsi.
Most of Sigur Ros’ lyrics are pretty cryptic whether they’re in English or Icelandic, but I think these two songs fit Wall-E the most
Glosoli
youtube.com/watch?v=Zr_MJAOyOeU
Grow Till Tall
youtube.com/watch?v=XQuz8jmUYDU
Some others that fit:
The Killers - Human
youtube.com/watch?v=wvVOoCKjonY
Daft Punk - Digital Love
youtube.com/watch?v=dVP7N9_Q6hs
Coldplay - Fix You (this one’s a little too obvious)
youtube.com/watch?v=pY9b6jgbNyc
Ordinary Day - Vanessa Carlton also fits Eve/Wall-E’s relationship really well
youtube.com/watch?v=ngoKmZCZ4s4
I just wondered, i wish Wall-E could make a song for EVE!
Using his whole vocabulary it would be a very short song.
did we say he had to use words? How about hums or groans or gestures?
Here’s maybe the third ELO suggestion: Yours Truly 2095. Despite the fact that the main character is a human with an earthly girlfriend, it reminds me of when WALL-E and EVE first meet up.
"I love you, sincerely
Yours truly, yours truly…
I sent a message to another time
But as the days unwind, this I just can’t believe
I sent a note across another plane
Maybe it’s all a game, but this I just can’t conceive.
(Can you hear me?)
I drive the very latest hovercar
I don’t know where you are
But I miss you so much till then
I met someone who looks a lot like you
She does the things you do
But she is an IBM.
I love you, sincerely
Yours truly, yours truly…
She’s only programmed to be very nice
But she’s as cold as ice
Whenever I get too near
She tells me that she likes me very much
But when I try to touch
She makes it all too clear.
She is the latest in technology
Almost mythology
But she has a heart of stone
She has an I.Q. of 1001
She has a jumpsuit on
And she’s also a telephone.
I love you, sincerely
Yours truly, yours truly…
Is that what you want? (Is it what you want?)
Is it what you really want? (Is it what you really want?)
Is that what you want? (Is it what you want?)
Is it what you really want?
I realize that it must seem so strange
That time has rearranged
But time has the final word
She knows I think of you, she reads my mind
She tries to be unkind
She knows nothing of our world
Although her memory banks overflow
No one would ever know
For all she says: “Is that what you want?”
Maybe one day I’ll feel her cold embrace
And kiss her interface
'Til then, I’ll leave her alone.
I love you, sincerely
Yours truly, yours truly…
“Is that what you want?”
A few song suggestions that I personally think work well:
Sigur Rós:- Viðrar Vel Til Loftárása (english translation of lyrics)
Carbon Based Lifeforms:- Gryning
God is an Astronaut:- Fragile
A lot of people have put romantic songs, so I’m going to mention one song about two friends, and sing about their friendship.
'Til Him- from The Producers
October Project, “If I Could”
youtube.com/watch?v=V5HaBIJVS-8
[the soap opera has nothing to do with the song, it’s a fan-vid]
Louis Armstrong, “We Have All the Time in the World”
youtube.com/watch?v=wy97lOwvECs
unfortunately that Louis Armstrong song just reminds me of James Bond’s ‘On Her Majesty’s Secret Service’… still a great song though along with ‘Wonderful World’
Oh, really random and irrelevant, but they were playing Wall-E music during James May’s tour of NASA on Top Gear 
Really? That is so sweet!