The majority of deck building card games use the following winning condition:
You and your opponent are the central figures on the battlefield, and the game ends as soon as one of you (or both) is killed.
You start the game with some positive amount of life that goes up and down (usually down) as you battle.
Whenever your life total is at or below 0, you are dead and you lose.
A slight variety of that is when there is no central figure and you have to destroy all your opponent's creatures to win.
I was able to find only two games that use different winning conditions: Gwent the Witcher and Ascension: Chronicle of the Godslayer. Could you please name some more?
In particular, I'm interested in the following condition: you and your opponent start at 0 points, you earn (or lose) points as you play and whoever has more points at the end of the game wins. (Both Gwent and Ascension seem to be examples of this mechanic.)