I used to be in a group where the DM made a majority of the rolls. We had to make them if it was something rediculous and creativity was rewarded. Case in point, we some friends and i had been traveling in a dungeon (shocker) and were resting. Random encounters are always fun because they caught us disarmed. Of all things, zombies stumbled upon us. In a febel attempt to get our equipment we managed to grab a backpackpack and rope. Uh-huh, we were that good.
We managed to break off from the horde and managed to make it to a small ditch, which we all made it accross (there were 3 of us total). We had come up with the idea to confuse them by throwing iron rations at them and then tie the backpack to the rope and try pulling them into the pit. Good times. We got a lot of credit for that. Imagine the DM's surprise when he had to generate hit probabilities for iron rations and damage.

I don't like overpowered characters. I find that my style clashes with anyone who wants like tier 10 armor at level 1

Sorry, Wow flashback. I love a good, creative story that lets you use your imagination as it was intended. I like DnD 2nd addition personally, but I'm also biased because i haven't tried the other ones yet. Now that i'm older, its hard to find anyone to "geek" out with.