A Narrative RPG is a type of roleplaying video game where the roleplaying mainly takes place within the pre-defined narrative elements of the game. This often takes the form of dialogue trees and of big, signposted choices, which are often tracked by the game in one way or another. The player's chosen role is expressed through dialogue options and quest resolutions, with the later often taking the form of ethical dilemmas.
Narrative RPGs tend to focus on providing a few options with a lot of associated content and context, as opposed to Sandbox RPGs, which tend to prioritise affording the player as much freedom as possible in which character they build and how they solve problems. Narrative RPGs have traits in common with adventure games and visual novels, while Sandbox RPGs have traits in common with immersive sims and survival games.
I consider the so-called "BioWare-style" RPGs a type of Narrative RPGs. BioWare-style RPGs encompass a list of games developed by BioWare in the 2000s and into the 2010s, as well as games which draw heavy inspiration from those games. The exact cut-off points for this style is highly arguable. Baldur's Gate II (2000) is an early codifier of many associated elements, such as companion quests and romancable companions, but is still very in line with classic CRPG or Tabletop-style RPG conventions. Arguments can be made for Star Wars: Knights of the Old Republic (2003) as the first BioWare-style RPG, but certainly by Jade Empire (2005), the style was fully cemented. The last BioWare-developed game in this style is similarly difficult to define due to the gradual nature of the shift towards the action-adventure, mass appeal elements which heavily characterise Dragon Age: The Veilguard (2024). Dragon Age: Inquisition (2014) or Mass Effect: Andromeda (2017) are the most likely candidates.