Born in New Orleans, he studied voice there with Charles Paddock, also the teacher of Ticho Parly.
On the Opening Night of the 1982–83 season, the tenor debuted with the Metropolitan Opera, where he appeared well over 800 times.
In fact, that production was televised, as were Laciura's performances in La forza del destino (directed by John Dexter, 1984), Francesca da Rimini (with Renata Scotto and Plácido Domingo, 1984), Tosca (1985), Le nozze di Figaro (opposite Ruggero Raimondi, and produced by Jean-Pierre Ponnelle, 1985), Die Fledermaus (1987), Carmen (in Sir Peter Hall's production, 1987), Turandot (conducted by James Levine, 1987), Les contes d'Hoffmann (1988), Ariadne auf Naxos (with Jessye Norman, 1988), La fanciulla del West (1992), Falstaff (with Paul Plishka, Mirella Freni, and Marilyn Horne, 1992), I lombardi alla prima crociata (opposite Luciano Pavarotti, 1993), Billy Budd (1997), Le nozze di Figaro (1998), and Wozzeck (2001).
Laciura has also appeared with companies in Geneva, Amsterdam, Montreal, Mexico City, Tokyo, San Francisco, Los Angeles, Chicago, and, especially, Santa Fe.
He portrayed Eddie Kessler, butler to Nucky Thompson, played by Steve Buscemi.