As my S&S recruitment says, I come from mostly sandboxy World of Darkness games. If you don't have a story in those, you have nothing to do. One of the things I love about Pathfinder is the built in stories, and the reason I run any AP is because I love the stories. I'll want to showcase that.
My games are Safe and you don’t need to worry about content or character death.
This does not mean 'be stupid and test this', I just might fudge things to keep someone alive; in the long run developed relationships and investing in playing are more important to me than DOING WHAT THE DICE SAY. I think I can make the distinction between dramatic death for story purposes and 'rocks fall'.
I will Mirror back player ideas I think are interesting in the game.
The entire reason I game is because I think people are awesome and have awesome ideas. More awesome ideas than me! So if you have an awesome idea, I want to use it. Period.
My games use a pre-made Map and pre scripted content.
This is not to say I can't or don't use my own materials or ideas, but I do actually keep those few and far between. I do APs because I like to have the pressure of all of that work off my shoulders. Plus, I think the APs are great and much better than what I would come up with. If you've done a campaign before, you'll see the box text in my campaign.
Characters in my games are Destined for greatness, not random death.
This is a big pet peeve I have with the open WoD games I usually play on. The world there seems focused on crushing your character with the weight of the terribleness of the setting - I really enjoy the atmosphere of Pathfinder that seems geared to making you great and special right out of the box. You're in this AP because you're going to do something cool. Now let's go do it!
My games focus on interesting Characters and Drama.
I will choose an interesting character over party balance any day. Good players make it work. Like I said previously, I love gaming because I love to see and interact with the awesome ideas that other people have. So I try to showcase those things by tailoring a game to the interesting characters ... and the drama they create.
My games are more of the Social, Fun and “Beer & Pretzels” style.
I am silly. Its a game. If we're not having fun, then we're not gaming, IMO.
My game has Shared GMing responsibility with the other players.
Most important for last. The most important thing to remember when gaming with me is this:
I am not invested in the rules.
They do not need to work a certain way for me. In most cases I don't really care which way a mechanic goes. I just want to roll it to see what happens and then go play it. Mechanics that are broken or confusing or stupid will often go completely missed by me because I'm not interested in them or picking them apart.
What does that mean? It means if you're playing in my game and there's an issue with rules, lets talk about it, and figure it out as a game. I don't like to change rules willy nilly because it does tend to unbalance other things (or can), but if players have a consensus and want to do things a certain way ... then by all means. As long as I can still reasonably tell my story and we're all on board and having fun, then I am happy.
That is part of a player's 'shared responsibility' in my games to get back to the original point.
I also expect that people know their character, what they're doing with it, and how their own mechanics work, for the most part.
I may also have players keep track of things like loot and money, for ease of my sanity.