His extensive voice-over work includes the original voice of Spyro from Spyro the Dragon; Shameless O'Scanty, Leslie P. Lilylegs, Elliott Sampson and Tad Tucker on New Looney Tunes; the Taco Bell chihuahua in the Taco Bell commercials; Denzel Crocker, Juandissimo Magnifico, and Sheldon Dinkleberg on The Fairly OddParents; Rocko and Spunky on Rocko's Modern Life; Lazlo, Clam, and other characters on Camp Lazlo; Felipe on Handy Manny; Walden on Wow!

; Grandpapi Rivera in El Tigre: The Adventures of Manny Rivera; Carlos Casagrande, Sergio, Vito, and other characters in the franchise of The Loud House; Mr. Weed in the first 3 seasons of Family Guy; the Disney character Panchito Pistoles since 2001; and Scissors from Rock Paper Scissors.

[6] He attended college at California State University, Sacramento from 1982 to 1986, where he began competing in open mic contests.

As a nod to this role, he also played a "bumbling" Reno cop in the CSI: Crime Scene Investigation episode "Let it Bleed".

[14] In 2020, Alazraqui reprised his role as Deputy James Oswaldo Garcia in the seventh season of Reno 911!

[15] Alazraqui has performed several voices for Nickelodeon cartoons, including Rocko on Rocko's Modern Life, as well as Denzel Crocker and Juandissimo Magnifico on The Fairly OddParents, Winslow T. Oddfellow and Lube on CatDog, and Scooter on SpongeBob SquarePants.

He played Wisk in Glen Hill's 2000 film version of L. Frank Baum's The Life and Adventures of Santa Claus.

He has also voiced the Hanna-Barbera characters Baba Looey, Mudsy the Funky Phantom, and Loopy De Loop in modern appearances.

Jeff "Swampy" Marsh, a storyboard writer for Rocko's Modern Life, described Alazraqui's normal voice as bearing "no accent at all".

He was the original "voice guy" on the Stephanie Miller Show, later being replaced by Jim Ward, who had previously substituted for him.

[20] In 2023, Alazraqui joined the cast of The Case of the Greater Gatsby, a noir parody podcast produced by Shipwrecked Comedy, playing a singing cowboy actor in 1940s Hollywood.

The series features Jill-Michele Meleán, Debra Wilson, Johnny A. Sanchez, Lori Alan, and Daran Norris.

In 2013, Alazraqui starred as a drug dealer[24] in one episode of the Melinda Hill web series Romantic Encounters.