Peters' father was a master carpenter and his paternal grandmother made pottery with a potter's wheel and kiln in her basement.
Peters owns a home in Baltimore, MD, where The Wire was filmed. At one time, fellow cast members, John Doman, Reg E. Cathey, and Jim True-Frost were his roommates.
Peters played Daryl Van Horne in 2001 UK stage production of The Witches of Eastwick.
Peters played the role of Billy Flynn in Chicago in London, New York and on tour throughout the U.S. for over 3,000 shows between 2000 and 2003.
Peters' first professional role was in Paris in 1971. His brother, Tony, another actor, couldn't make an audition and Clarke went in his place and received the job.
Peters played Quarrel in a 2008 BBC radio dramatization of Ian Fleming's Dr. No. Fleming was born in 2008 and the broadcast marked the 100 year anniversary.
Peters was part of a singing trio for three years, The Majestics, a London-based group.
Peters is the father of Joe Jacobs, a young English actor who appears on the BBC drama Holby Blue as a constable.
Peters trained as a mime. He was introduced to the art form by a protege of famed mime, Marcel Marceau.
"Cool Lester Smooth" is the nickname for the character Peters portrayed, Detective Lester Freamon, in HBO's The Wire.
Peters received a Theatre World Award for his 1999 role as Joe Mott in The Iceman Cometh.
Peters first role in the London theatre was in Guys and Dolls as Sky Masterson.
Peters wrote the musical review, Five Guys Named Moe, which won the 1991 Laurence Olivier Award for Best Entertainment in London. It was also nominated for a Tony Award in 1992 after its run on Broadway.
Peters: While I was researching Unforgettable, I heard about a lady in South Africa who had the complete Nat King Cole collection. She loved to listen to him, and did so often until she found out he was black - and then promptly got rid of every record of his she owned. (he wrote/starred in a musical about Cole's life)
Peters: I love women. I [fantasize] about a bevy of women every night, but I'm only acting. (his reaction upon receiving so many flowers from women during his performance in The Witches of Eastwick)
Peters: In this world of turmoil and unrest, I find peaceful meditation a tool to neutralise the negative. "Meditation" as taught by the Brahmun Kumaris from Mount Abu in Rajasthan, India. This is my path. One of peace, respect and love.
Peters: I just finished doing Porgy in Porgy and Bess [2006-2007 London production], and that's the best role I've ever done on stage in a musical. For an actor, it's a wonderful part emotionally. That role has it all. Love, tears, laughter, anger, all the emotions, and there's wonderful music. (when asked what role he was dying to play)
Peters: I am an American who considers himself a citizen of the planet Earth. (Peters is an American and was asked why he lives London)