Last week, I had a meeting about a new project I’m planning with Meredith Monk. I guess that got me started…
Alvar Aalto
Béla Bartók
Caleb Carr, Colin Carr, Carl Craig, Claude Chabrol
Don DeLillo
Edward Elgar
Federico Fellini
Gérard Grisey, George Gershwin, George Grosz, Glenn Gould
Harry Houdini
Ippolitov-Ivanov (cheating I know, but his other names were Mikhail Mikhailovich)
Judith Jameson
Karl Kraus 
Lowell Liebermann
Meredith Monk, Moritz Moszkowski, Marin Marais
Nicolas Nabokov
Otto Ortmann
Peter Pears
Roger Reynolds, Richard Rogers
Samuel Sanders
Tommy Tune, (and greetings to Terry Teachout)
Vladimir Viardo
Walt Whitman, William Walton
Fred Flintstone?
We’ve extended your list and even added twists to it:
http://www.kera.org/blogs/culture/2009/02/23/alliterative-artists/
a few more, for fun…
Benjamin Britten
James Joyce
Karla Kihlstedt
Louis Lortie
Steven Sondheim
Sister Souljah
Tom Toles
Sanford Sylvan, David Deveau, and Mark Morris also make the list!
Always prone to exaggerations, I have a triple: Pier Paolo Pasolini.
Few more:
Boris Berman
Modest Musorgsky
Marcel Marceau
Peter Pears
Anton Arensky
Karl Klindworth
Joseph Joachim
Adolphe Adam
Paul Pabst
And, um,
Bruce Brubaker…
SAmuel SAnders is a “degree 2” alliteration
BRUce BRUbaker, “degree 3”
Marcel Marceau takes the cake, so far, at degree 5
A rarer type would be:
El Lissitzky (Lazar Markovich Lissitzky)
whose more commonly known name starts with the “name” of the first letter of his last name…