I'm not sure if it would be hard to implement but what about deeper relationships where Sims themselves decide who to pursue a more meaningful relationship with? For example, a Sim meets another at a bar and they become great friends and that's all. But there could be Sim who, when they meet and spend a lot of time with another Sim, starts to develop romantic feelings for them. All on their own.
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For example, a few weeks ago I was playing a household and when my teen Sim returned home from school, a message box popped up asking whether Samantha should invite over someone she met at school. Courtney showed up at the door, walked in and after talking to Samantha a little bit, she enchanted her. Clearly Courtney fancied Samantha, so that's why she used that particular introduction.
What I miss about playing TS3 is the ability to set their astrological sign, fave food...etc. Maybe adding that can play a role in the whole vibe/chemistry/attraction thing.