Whatever RPG I play, be it D&D, Exalted, Alternity, Cyberpunk 2020, Mechwarrior, d20 Modern, Star Wars SAGA edition (I've played previous editions and even the West End Games version too, I just prefer SAGA there)... World of Darkness...what have you... it's story primary. Sure, combat can be fun... but generally I'd rather there be a point to it. A goal, a need, some REASON to fight. Sometimes that's survival, sometimes it's because I'm seeking to conquer X or Y, sometimes it's to protect something, whatever... but there needs to be an actual purpose to it, beyond just TO FIGHT, or even 'To get the shiney thing'.
I don't play D&D that often anymore... most local group shifted to 4E, which... I'm less than fond of, and...tended to also shift to a more 'lets kill the monsters' tone, more a miniatures game or war game than a roleplaying game, with a primary focus on battle. I'm not saying 4e HAS to be that way, but it's how it effected many around here. I've stuck more with Exalted and SAGA. While Exalted you'll certainly want to be ABLE to fight, to keep your rear from being handed to you when the first major antagonist shows up... plenty of other solutions, if you choose to use them...and XP isn't handed out for enemies killed or defeated at all. It's given out for sessions, and for superior roleplay or big events, or for doing something awesome...whether that be some awesome action in battle...or the awesome speech you gave, or the training montage for your order of ninja assassins or your awesome stunt for how you're crafting the magitech arm you're replacing your own missing limb with or what have you.
Mainly, I enjoy a good story, and doing something interesting. I can do that in D&D, but found 4e to be less helpful there. I enjoyed a number of good stories in 2nd ed and 3rd ed and 3.5. Less so in 4th Edition.