(covers information from several alternate timelines)
An accent was a vocal inflection particular to the people in a specific geographical region.
In 2152, a Risan woman told Hoshi Sato that she spoke the Risan language with hardly any accent. (ENT: "Two Days and Two Nights") Feezal Phlox also noticed the same thing when Sato spoke Denobulan. (ENT: "Stigma")
In both the prime reality and the alternate reality, Pavel Chekov's Russian accent caused him to pronounce "V"s as "W"s and vice versa. A passerby had difficulty understanding Chekov who was looking for "nuclear wessels" in Alameda. (Star Trek IV: The Voyage Home) The computer of the alternate reality USS Enterprise could not entirely distinguish between accented speech and a mistake in an authorization code, much to Pavel Chekov's frustration. (Star Trek)
In 2369, multiple holographic characters from an Ancient West holoprogram (which, due to a computer glitch, took on the appearance of Data) exhibited different accents, including Western and Mexican. (TNG: "A Fistful of Datas")
In 2374, Vic Fontaine removed the Russian accent from Julian Bashir's holographic character Lola Chrystal – a feat which took over an hour – to allow Odo to pretend she was Kira Nerys. (DS9: "His Way")