OpenD6 does it pretty well, making it so that stats are fine-tuned to the type of game you're playing.
Base d6 Adventure, meant to do modern stuff/be the most generic?
>Reflexes, Coordination, Physique, Presence, Knowledge, Perception, Extranormal (the magic stat).
These are the most generic stats and let you do most stuff without a problem. It's a bit vague compared to the other d6 games, as they stick with the typical necessary ones (Dex, Str, Know, and Perc/Cha) and add their specific twists where Adventure splits Dex and Perception, but it's pretty detailed and will do for most things.
Star Wars/other Sci-Fi d6?
>Dexterity, Knowledge, Mechanical (operating stuff), Perception (acts as actual perception and charisma), Strength, Technical (fixing, programming, and hacking stuff).
These are custom-made for surviving in a science fiction world where technology is the norm. You have your baseline stuff that everyone should have (Dex, Str, Know, and Perc/Cha), Int is split three ways: Mechanical and Technical aren't really necessary most other places; and make sense in a sci-fi world. Just because you're smart doesn't mean you can fly a fighter or hack a computer. In sci-fi, with so much tech, that matters.
Fantasy?
>Agility, Coordination, Physique, Charisma, Intellect, Acumen, Extranormal
The only real difference between Fantasy and Adventure is that Int is split into two stats, which makes a bit of sense. In a fantasy setting, what equipment you have doesn't really matter as much. Technology doesn't really play a part. What you know, and what you can do, takes priority.
MiniSix, the faster-playing cousin of Od6, combines the stats into four that are used no matter what genre of game: Might, Agility, Wit, and Charm. You're free to add other attributes if you want if the genre demands it, but it's not really necessary.