A problem we may have with this bounty is that 'minigames' come in many forms. Obviously you've got cute little card games within sprawling fantasy RPGs and the abstract ways in which immersive sims represent hacking, but then entire mechanics could be said to be minigames, such as arranging your attaché case case in Resident Evil 4, as a member wisely pointed out when we ran this bounty as a discussion long ago.

So we'll leave it up to community wisdom: don't hesitate to upvote or comment on any submissions that resonate with you as meeting the definition of 'a minigame', and if you'd like to make a case, submit in writing or video and tell us which minigame you think is the best in video games and be sure to explain/justify your pick!