The TVTropes Trope Finder is where you can come to ask questions like "Do we have this one?" and "What's the trope about...?" Trying to rediscover a long lost show or other medium but need a little help? Head to Media Finder and try your luck there. Want to propose a new trope? You should be over at You Know, That Thing Where.
Changes to an adaptation usually fall under the Adaptation Deviation super trope.
Or if there's a more appropriate or specific "Adaptation" subtrope, it can go there. The Adaptation Deviation page does offer an exhaustive list regarding them.
For your second example, I think that if the game "introduced" something new that wasn't in the original, they may be written as examples of Adaptation Expansion.
With Great Power, Comes Great Motivation
Which tropes do you think would best fit those topics?