AFI Albums: Sing the Sorrow, Crash Love, Black Sails in the Sunset
Muse Albums: Absolution (so far, I'm a pretty new Muser )
AFI songs: Oh god so so many songs...:
...But Home is Nowhere, The Last Kiss, Dream of Waking, Reivers Music, 100 Words, The Missing Frame, Cold Hands, Torch Song, Malleus Maleficarum, The Interview, The Despair Factor, Either, The Leaving Song, The Leaving Song pt. II, On the Arrow, Okay I Feel Better Now, Smile, Synesthesia... so very many...
Muse songs: Apocalypse Please, Time is Running Out, Stockholm Syndrome, Thoughts of a Dying Atheist, Take a Bow, Starlight, Bliss, Fury... and they will be joined by more soon
And yes, Shockwaves! If you like DU you're going to ADORE Sing the Sorrow. After Sing the Sorrow you should get Black Sails in the Sunset, The Art of Drowning and Crash Love