This generation, I would personally argue games like Overwatch and Rocket League are the most influential. Games as a service are the big thing a lot of publishers are aiming for this generation and early successes of games like them no doubt made the whole prospect a lot more enticing
This is the best post in this thread so far. On point.
Anyone saying Breath of the Wild is misunderstanding "critically acclaimed" with "influential."
No. A very easy argument could be made that, for example, Call of Duty 4: Modern Warfare was a much more influential game than Dark Souls.