Originally done by Elvis, of course, but Pearl Jam plays it on the Las Vegas live cd
as follows:

G  C  G

C     G   C    F           C   G
Wise men say: only fools rush in
F    G      Am     Dm     C       G    C
But I can't help falling in love with you

C     G   C    F        C   G
Shall I stay, Would it be a sin
F    G      Am     Dm    C       G   C
if I can't halp falling in love with you

Em       Am
Like a river flows
Em       Am
Surely to the sea
Em       Am
Darling so it goes
Em       A7           Dm
Some things are meant to be

 C   G   C     F    C            G
Take my hand, take my whole life too
 F   G    Am       Dm    C       G    C
if I can't help falling in love with you
 F   G    Am       Dm    C       G    C
Yet I can't help falling in love with you

                ---------

That's it, pretty damn simple but sounds good and not as gooey as Elvis's version.