Glad your not asking about Zodiac that's one a bitch to explain....:lol
While I haven't beat Archway myself, I've come damn close, my only tips are don't play if you have any low kings or aces, just re-deal. This is supposed to be the game that has the lowest win rate outta all of them and chances are this is the one game many of us haven't beaten yet.
Matrimony sucks and it's the other game I don't have a win in yet, I've come close but outta 100 games no win, most people say to auto deal it and keep hitting X until you win, but I've had no luck with that either. Also there's a glitch where the Queen of Diamonds stack will wrap around meaning it will let you play more cards on top of it then it should, which ruins the other piles...
For flying aces, just re-deal Klondike until you have 4 aces showing, then play them on the foundation without touching the stock pile...
Not touching the DLC until I get the first 18 beat...