As it's been stated hundreds of times, there's a distinct different between favorites and what you think are "the best." These are my favorites:

1.) Nirvana's In Utero
2.) Everclear's So Much For The Afterglow
3.) Green Day's American Idiot (and coming from a conservative, you know the album's fuckin' good)
4.) Flickerstick's Welcoming Home the Astronauts
5.) Goo Goo Doll's Dizzy Up The Girl

Honorable Mentions/Other Favorites: Taking Back Sunday's Tell All Your Friends, The Cure's Kiss Me, Kiss Me, Kiss Me, Nirvana's Bleach, Thursday's Full Collapse, Dashboard Confessional's The Swiss Army Romance, Matchbook Romance's Stories & Alibis, Nirvana's Incesticide, Green Day's Dookie, The Cure's Disintegration, Goo Goo Doll's A Boy Named Goo, Something Corporate's Leaving Through the Window, Thrice's Illusion of Safety, The Ramones' Rocket to Russia, Thursday's War All The Time, Nirvana's Nevermind, Cursive's Domestica, Dead Kennedys' Fresh Fruit for Rotting Vegetables, Nirvana's Unplugged in New York, The Sex Pistols' Nevermind the Bollocks, Sugarcult's Palm Trees and Power Lines, Rage Against the Machine's Evil Empire, Pixies' Surfer Rosa, Dashboard Confessional's The Places You Have Come To Fear The Most, Flickerstick's Causing a Catastrophe (Live), Ryan Adams's Gold, Dashboard Confessionals So Impossible EP, Kanye West's College Dropout, The Ramones' The Ramones (self-titled), among others...

Once I start a list, it's hard for me to stop. So, sorry for the length...