Hi all! Been a long-time lurker to these forums getting rule clarifications and the like having recently gotten the Arkham Horror bug! 
Played 3 games so far. The first with 2 friends we had to abandon because the rules and sequesnce of phases weren't clear to us all.
Based on the suggestions here I ran a solo game, then tried again with my friends (vs Azatoth), against which we prevailed with 3 gates to spare! 
Anyway, I wonder if I might trouble a few experts with a few questions?
1) "A monster appears!" as the text in an encounter card. Before I ruled that you had to fight it in the movement phase and it counted towards the monster total on the board. I've subsequently learned that neither is the case (either immediately avoid or slay it but it doesn't stay on the board). Question, do you keep the trophy if you slay it? I'm reading the manual pg 22 where one paragraph says you don't keep it and then the subsequent one says you DO keep it. Or is it only for Otherworld encounters that you keep the trophy?
2) What's the point of luck? In our entire game I don't think we ever had a skill check inolving this. I'll grant we weren't using spells but that's a lore check if I'm not mistaken...
3) From the game a mythos card (can't recall which) says all monsters in Arkham of a type return to the cup. If any return, the terror level goes up by one. Does the outskirts count for this? I ruled the board & sky does but not the outskirts. Wrong?
4) Similar to 3 when closing a gate with a symbol all monsters in the game (board, sky, and outskirts) with that symbol return to the cup. Correct?
Overall we had fun and I'm eager to play again - this time without Mandy's re-roll abaility (which was a life saver I admit) and perhaps with Nyarlothep as the AO.
My only complaint as a new player is that there is an awful lot to keep track of: monsters on the board (for limits), monsters in the outskirts (for terror), number of open gates, etc. I note with interest that the yet unreleased Miskatonic Horror will try to make management of this easier.
Can't wait to see what that'll be - personally I'm thinking of fashioning an homemade abacus to handle the book-keeping. 
Pehaps FF might consider a simaar solution if MH hasn't already gone to press?
Anyway, can't wait to try out King in Yellow (once my group has gotten a few games under its belt).
And eagerly awaiting the reprint of Dunwich and the release of Miskatonic!