Cellar, Chapel, Village, Woodcutter, Moneylender, Smithy, Spy, Library, Market, Mine.
(Yes, these are all base set cards. This was a RL game with new people, so I didn't want to overwhelm them.) I opened 2/5 and figured I'd go for chapel/library with aggressive trashing. It worked ok, but far from optimal. My friend bought libraries and a moneylender and won by a point. It was a fun game, but neither strategy was great, so I thought I'd analyze it further to see what I should have done.
Using the simulators, the best strategy I can find is BM Library. That is sooooo boring. BM library beats any chapel combo I can find, and beats a village/smithy chain with chapel support. The closest I could get to parity was a Chapel/Mine combo with aggressive trashing, and a cellar thrown in at the end. Even that strategy loses 60/40 to BM Library.
Now, I'm no expert with the simulators, so maybe I'm missing something. Maybe I just missed a good strategy -- I'm fairly new at the game. Please, somebody show me a strategy that beats BM Library on this board!