The narrator of Fallout, Fallout 2, Fallout 3, Fallout: New Vegas, Fallout 76 and Fallout Tactics is actor Ron Perlman.
Background
Perlman's narration includes the series-wide quote, "War... War never changes." In Fallout 4, the narrative voices are provided by the Sole Survivor's male and female voice actors, Brian T. Delaney (intro and male character endings) and Courtenay Taylor (female character endings only). Perlman instead portrays the newscaster in Fallout 4.
Fallout
Fallout 2
Fallout 3
Fallout: New Vegas
Fallout 4
Fallout 76
Fallout Tactics
Van Buren
Notes
The only game in the series in which Perlman did not provide his voice was Fallout: Brotherhood of Steel where Tony Jay (voice actor for the Lieutenant from Fallout) narrated the introduction instead.