Several more ideas:
For any sort of competition (chess, city living festrivals, dance battles, card games, etc) or fight (including vampire and caster duels), though the positive ones can only show up for friendly competitions:
Worthy Opponent: From competing against a sim with similar skills. Both the winner and loser can get this sentiment. When around the opponent, this sim might get a happy buff that suggests a desire for a rematch. This sim gets increased social gains with the opponent as well as very slightly higher skill gains because they're feeling challenged. Sims with negative relationships to each other aren't likely to get this.
In Your Face!: From the winner towards the loser. The winner gets a confident buff when they're around the loser. When they have this buff, they can rub the loser's nose in it, brag about victory, victory dance, and cheer. If a child or teen sim does these interactions, they lose empathy. Evil sims, childish sims, bros, mean sims, self-assured sims, insensitive, uncontrolled emotions, and self-absorbed sims are more likely to get this sentiment. Hates Children sims are more likely to only if playing against a child sim. Sims with negative relationships to each other are more likely to get this than acquaintances or sims with positive relationships. Child and teen sims are more likely to get this than YA or older ones.
Sore Winner: A sim can get this when a sim with the In Your Face! sentiment uses one of the unique interactions from that sentiment on them. They occasionally get a small tense moodlet around the winner and always gets one when playing a game/dueling with the winner.
No Fair!: The loser can get this towards the winner. The loser gets an angry buff that gives them unique interactions. You Must've Cheated!, Demand Rematch, You Got Lucky. If a child or teen sim does these interactions, they lose emotional control. Evil sims, childish sims, jealous sims, perfectionists, self-assured sims, self-absorbed sims, uncontrolled emotions, and paranoid sims are more likely to get this sentiment. Sims with negative relationships to each other are more likely to get this than acquaintances or sims with positive relationships. Child and teen sims are more likely to get this than YA or older ones.
Sore Loser: A sim can get this when a sim with the No Fair! sentiment uses one of the unique interactions from that sentiment on them. They occasionally get a small tense moodlet around the winner and always gets one when playing a game/dueling with the loser.
Noob!: "That wasn't even a challenge. (Sim) isn't going to want to play with this sim until they git gud" Chance of happening when two sims with a big gap in skill levels face off. The higher-leveled one can get this sentiment. The higher-leveled sim can get embarassed, bored or angry when playing with/fighting the "noob". Relationship gains between the two will be slowed and the higher-leveled sim will get lower skill gains because they're not getting a challenge. This sim gets some special interaction- mean: criticize skills (reduces empathy) friendly: explain techniques AGAIN (reduces emotional control). Bros, geeks, geniuses, perfectionists, mean sims, evil sims, insensitive sims, uncontrolled emotions sims and self-assured sims are more likely to get this sentiment. Most sims are unlikely to get this towards teens or children, unless both opponents are children or teens. Hates Children sims, on the other hand, are more likely to get this towards children.
Intimidating Opponent: Chance of happening when two sims with a big gap in skill levels face off. The sim with lower skills can get this sentiment.
I'll edit this to continue later