He has appeared in Runaway Bride (1999), Bad Boys II (2003), War of the Worlds (2005), American Gangster (2007), The A-Team (2010), Captain Phillips (2013), The Infiltrator (2016), Midnight, Texas (2017–2018), Russian Doll (2019), Severance (2022), and Hotel Cocaine (2024).

With over 40 film credits, other highlights include roles in six time Oscar nominee Captain Phillips (2013), The A-Team (2010) with Liam Neeson, John Sayles's Amigo, Steven Soderbergh’s two-part epic Che (2008), The Take (2008), American Gangster, Music Within (2007), War of the Worlds (2005), Bad Boys II (2003), Traffic and Runaway Bride (1999).

[4] He has also been in Kill the Messenger starring Jeremy Renner and directed by Michael Cuesta; Anesthesia; and The Cobbler, opposite Adam Sandler, Dustin Hoffman and Steve Buscemi.

Vazquez is a founding member of the LAByrinth Theater Company and served two terms as co-artistic director with Stephen Adly Guirgis and Mimi O'Donnell in New York City.

Prior to starting his acting career, Vazquez was the lead guitar player for East Coast Album-oriented rock (AOR) bands Urgent and Diving For Pearls.

The group was dropped by the label before a second album could be completed due to the musical climate changing in the early 1990s as melodic hard rock fell out of favor in the U.S.[4] In 2009, Vazquez played acoustic guitar with Ian Astbury of The Cult under the name The Soft Revolt appearing at the Bowery Electric in New York City on the opening night of John Patrick Shanley's play Savage in Limbo, which Astbury was producing.