Lessee....
Well, when I play, I tend to solo by nature; it just offers me the flexibility to come and go when I want.
I do enjoy teams, but they have to be close-knit and understand how to function together and be flexible. Low-key but still efficient; I hate teaming with people who don't respect other people's time, or who aren't group centered and spread the wealth/item to the people who most need it, or who aren't competent at their role on the team, or who do not communicate what they are doing and thus create confusion and wasted energies (if not worse).
The one class I really don't like much is the mage.
I like to fluctuate between direct combat and tanking. I don't mind healing, depending on the team -- that can be a fascinating study in prioritization and multi-tasking (since you're buffing, healing, dispelling, etc., with a fixed mana pool).
In Wow, I play a pally, warrior, rogue, or druid, usually. I think I like my feral druid the most, honestly, because she's so versatile and can tank or do damage.
So I don't see my normal type and approach to life deviating much from my gameplay: I like to strategize and control situations rather than being blind-sided, I like the teamwork to be sensible and efficient and maximize results, I like soloing and exploring on my own schedule, and I enjoy talking and having fun as we do whatever we plan to do together. (Sometimes when I solo, I'll still be chatting non-stop with a friend or two via Whisper.)