These are songs that convey incredible moments, full of spine-tingling emotion, to the listener. I highly recommend you seek them out and listen to them with good headphones, even if they are not in your language :)
Consider this list "not finished", and a work in progress, until I can't update it anymore - and also, just the beginning of your journey in discovering so many talented artists.
Some of my personal favorites have way too many songs...
enrique bunbury (and his other projects, especially Heroes del Silencio)
andres calamaro (and his other projects, especially Los Rodriguez)
gustavo cerati (and his other projects, especially Soda Stereo)
Zoe (and Leon Larregui's solo career)
Leon Larregui
-brillas
-souvenirs
-como tu (magic music box)
-femme fatal
Los fabulosos cadillacs (and vicentico's solo career)
Thursday
Deftones
Lucybell
-te quiero ver
-fe
-a perderse
-vuelve a mi
-Juro al sol
-pez demonio
-Tu
-Viajar
-Amanece
-Esfera
-Ten Paz
-Intento no marearme
-Vete
-Eclipse
-Sin alas
-Me dejo tentar
-Carnaval
-Mataz
-Hacia el cielo
-Flotar es caer
-Fui a cazar
-Mi corazon
-Mi propia cruz
-Angel
-Esperanza
-La distancia
Fobia
-Hipnotizame
the following are literally all songs in "rosa venus" except for intro and outro, which are musical
-No eres yo
-200 sabados
-No soy un buen perdedor
-12 pasos
-1 camino y un camion
-2 corazones
-Todas las estrellas
-Una vida sencilla
-Muy maniaco de mi parte
-Hoy tengo miedo
the ataris
-so long, astoria
malpais
-muchacha y luna
-malpais
adele
-set fire to the rain
-someone like you
the strokes
-tap out
-slow animals
-machu pichu
-life is simple in the moonlight
*first 3 albums to come, but they're generally good*
bob marley
-iron lion zion
-waiting in vain
-satisfy my soul
-three little birds
-natural mystique
-turn your lights down low
-so much trouble in the world
Nine Inch Nails (NIN)
-closer
-hurt
-piggy
-march of the pigs
-kinda i want to
-that's what i get
-terrible lie
-the perfect drug
-we're in this together
Aleks Syntek
-Mis impulsos sobre ti
-Mas fuerte de lo que pensaba
-El camino
-Sin ti
-Bendito tu corazon
-Por volverte a ver
-Duele el amor
Victor Manuel
-Soy un corazon tendido al sol
-Asturias
-Quiero abrazarte tanto
-Ay. Amor
-Nada sabe tan dulce como su boca
-Adonde iran los besos
Rata Blanca
-Mujer amante
-Ella
-Noche sin suenos
-Aun estas en mis suenos
Angeles del infierno
-Pensando en ti
-Si tu no estas aqui
-Jugando al amor
-666
Jay-Z
-99 problems
-dirt off your shoulder
-niggas in paris
-encore
Mago de Oz
-fiesta pagana
the cure
-lovesong
-just like heaven
-pictures of you
The Stone Roses
-i wanna be adored
Depeche Mode
-Stripped
-strangelove
-enjoy the silence
-policy of truth
-walking in my shoes
-only when i lose myself
-never let me down again
-sweetest perfection
-precious
The Oh Hello's
-Hello My Old Heart
Fitz and the Tantrums
-Out of my league
Nirvana
-Come as you are
-Heart shaped box
-The man who sold the world ("unplugged")
-Lithium
-In bloom
Lorde
-Team
-Royals
-Ribs
-Buzzcut Season
Vilma Palma e Vampiros
-Verano traidor
-La pachanga
-Fondo profundo
Pink
-Try
-Who knew
-Just give me a reson
Fun
-Some nights
-We are young
-Carry on
Jarabe de Palo
-Agua
Joaquin Sabina
-Besos en la frente
-Quien me ha robado el mes de abril?
-Juegos de azar
-Nacidos para perder
-Cuando aprieta el frio
-Y nos dieron las diez
-A la orilla de la chimenea
-La del pirata cojo
-Peor para el sol
-Amor se llama el juego
-Pastillas para no sonar
-Esta noche contigo
-Por el bulevar de los suenos rotos
-Ruido
-Como un explorador
-Eclipse de mar
-Y si amanece por fin
-Mentiras piadosas
-Corre, dijo la tortuga
-Con la frente marchita
-Medias negras
-Contigo
-Y sin embargo
-Ahora
-19 dias y 500 noches
-A mis cuarenta y diez
-Donde habita el olvido
-Cerrado por derribo
-Pero que hermosas eran
-Whisky sin soda