I was kidding jajaja
@georkost can you take my turn please? I’m a little busy now.
Οκ 
2001 release of the album
Non lp song
But the bands is somehow connected to lp
Starts with A
Don’t you want to guess???
Blink 182 - always ??
Νο, but you got the feeling 
Adam’s song?? Still Blink , but maybe is 1999… 
Waiiiit!!! “Anthem” ??
Νο Blink.182 
System of a down - atwa (toxicity)? 
So so so close
Aerials? SOAD
Yes yes yes!!! Yout turn 
yay!

2002
Not LP song…but…but…“somehow” related… 
5:04 minutes
Bruce springsteen -into the fire
No!much much more related to LP… 
Audioslave light my way
Nope!!!far away… ok other clue…too difficult like this… 
Sang by a member (Maybe not everyone knows the song)
After a bit of search I found something about Phoenix… But nothing matches the duration you said 
Looool no Phoenix!
you can guess it! 