Chris Cornell has acoustic versions of soundgarden songs, but most without Kim playing, an MTV unplugged soundtrack with Kim would've been nice.
Like Suicide was the earliest single that is close to what I imagine Soundgarden would've sounded like unplugged.
YouTube - Soundgarden - Like Suicide (Acoustic)
YouTube - Chris Cornell Performance (rare acoustic)
YouTube - CHRIS CORNELL "Fell On Black Days" (solo acoustic)
YouTube - Chris Cornell - Black Hole Sun