Ohhhh I see you like Soundgarden. They're one of my favorites. I'm actually gonna sit here and give you one of my favorite playlists though. There's some Soundgarden on it, and a bunch of other stuff too.
Weezer: Island in the Sun, Say it Ain't So, Hash Pipe, Undone-The Sweater Song, Photograph, Buddy Holly, Eulogy for a Rock Band
Green Day: Basket Case, Welcome to Paradise
Pearl Jam: Yellow Ledbetter, Better Man, Just Breathe, Corduroy, Rearviewmirror, Nothingman, Oceans, Garden, Immortality, Even Flow, Hail Hail
Radiohead: Karma Police, Fake Plastic Trees, High and Dry, Creep, Paranoid Android, True Love Waits
Nirvana: Smells Like Teen Spirit, Heart-Shaped Box, The Man Who Sold the World (originally David Bowie, but I like the Nirvana rendition better- fight me), In Bloom, About a Girl, All Apologies, You Know You're Right, Been a Son
Soundgarden: Spoonman, Fell on Black Days, Burden In My Hand, The Day I Tried to Live, My Wave, 4th of July, Superunknown, Fresh Tendrils, Kickstand
Veruca Salt: Seether, Volcano Girls, All Hail Me
Brandi Carlile (not 90s grunge at all, but you should definitely give her music a try): The Story, Raise Hell, Turpentine, Mainstream Kid, she also did some really good covers of The Sound of Silence, Creep, and Hallelujah
The Cranberries: Zombie, Linger
Nine Inch Nails: Hurt, Head Like a Hole
The Offspring: Come Out and Play (Keep 'Em Separated), The Kids Aren't Alright
R.E.M.: It's the End of the World as We Know It (And I Feel Fine), Losing My Religion
Chris Cornell: Nearly Forgot My Broken Heart
Eddie Vedder: You've Got to Hide Your Love Away (Beatles cover)
Thom Yorke: YouWouldn'tLikeMeWhenI'mAngry, Black Swan
Audioslave: Like a Stone, I Am the Highway, Show Me How to Live
Red Hot Chili Peppers: Can't Stop, Under the Bridge
Foo Fighters: Everlong, The Pretender, Best of You, My Hero, Run, Times Like These, Stacked Actors
Led Zeppelin (a bit older, but still good music): Stairway to Heaven, Kashmir, Going To California, The Battle of Evermore, Whole Lotta Love
Third Eye Blind: Semi-charmed Life, How's It Going to Be
Oasis: Wonderwall, Champagne Supernova, Stand By Me, Supersonic
The Smashing Pumpkins: Bullet With Butterfly Wings, Disarm, Tonight Tonight, Today
The Black Keys: Lonely Boy
No Doubt: Just a Girl, It's My Life, Ex-Girlfriend
(Sorry for the long post)