I will comment on on one of the recommended boards (from the rule book) from Prosperity and Adventures. Feel free to discuss how you would do things differently. Later you can discuss different recommended boards.
Last Will and Monument
There are two decent strategies on this board: vault/rabble;treasure trove;monument;Big money and a counting house engine. In the big money strategy you probably want to open monument+silver on a 4/3 and treasure trove/coin of the realm on a 5/2 split. This is a very simple but fast big money strategy. This probably should be your buy priority outside greening:
For
Stagger rabbles or vaults and treasure troves starting with treasure troves.
For
get one to two monuments proceed to get
For
get silver
For
get COTR
The payload of the engine is to play a messenger and the a counting house. To do this you need a whole bunch of dungeons, 1-2 treasure troves, a messenger, 1-2 counting houses(with two you play one mid turn), and two staggered COTRs.
You probably want to inherit dungeons so your deck can explode.
On a turn you should play a bunch of dungeons and then play messenger, calling COTR , then playing counting house drawing all your coppers, play your treasure troves. A deck with two counting houses should play the second one in the middle of the turn.
Edit: oops forgot about inheritance