The following is a list of all board game mechanics I know in this category, and that aren’t too niche. Card game mechanics are also included. I’m posting this mainly for my own reference.
End Game Bonuses: Players earn (or lose!) bonus Victory Points (VPs) at the end of the game based on meeting victory conditions.
Highest-Lowest Scoring: Each player’s score is equal to the lowest value of several categories. Whoever has the highest lowest value is the winner.
This system is normally known as Knizia scoring. Tigris & Euphrates is an early example of this mechanism. Players are collecting four different color cubes – red, green, blue, and yellow – and their score is the color that they have the least of. A player with 12 red, 10 green, 6 blue, and 2 yellow has a final score of 2. This forces players to not be too specialized in which cubes they collect.
Highest-Lowest Scoring is a special case of Set Collection, where only complete sets are counted.
Kill Steal: Players contribute towards completing a task, but only the player who finally completes it gets a particular benefit or bonus reward (even if others share in the base level benefit).
Legacy Game: A multi-session game in which the state of each subsequent session irreversibly builds on the legacy of the previous one. Permanent and irreversible changes to the game state carry over to future plays. Components can be written on with permanent ink, torn apart, covered with stickers, and more. This mechanism was introduced in Risk Legacy. This should not be confused with the mechanism, which modifies the state between sessions, but the state can be reversed (e.g. Campaign Games). Games with reversible states existed much earlier.
Victory Points as a Resource: Victory Points (VPs) may be spent as a currency to impact the game state.
Business or Economic games that use currency and give the win to the players with the most money are common examples of this mechanism. However games with other themes like Small World also use this mechanism. Games where currency (or other resources) can contribute in a minor fashion as extra VPs at the end game (usually at some discount rate) should not be tagged with this mechanism, but rather as End Game Bonuses.