Because of the continued innovation of technology, game developers are able to create much smoother animations than they were able to ten years ago. We have games that have very fluid animation now, but some designers have emphasized the visuals of animations above responsive controls. Sometimes animations take too long to show the player's current movement because the animation of the character turning or transitioning to the new animation is too slow. Although it may look visually appealing, it can be quite frustrating for the player when their character is not moving at the times the player wants them to, especially when there are actions that must be taken quickly (when the player must react fast). The time it takes the character to initiate movement from the moment the player presses a button or moves the joystick takes a split second too long, causing the player's character to react too slow, potentially resulting in the player's character taking damage, dying, or losing because of the design control responsiveness and not the player's reaction.
NBA 2K15 Edit
For example, in NBA 2K15 the player movement looks very smooth, but the controls to move the player (Left and Right Joysticks) seems to not move the player as promptly as the player might want. This can cause issues when the player can see that they need to defend the opponent, but the animation of the character is just slightly too slow, causing the opposing character to easily run around the player's character. This is extremely frustrating because the player knows that when they reacted did not properly transfer over to their character because of the slow animations.