On the 1st of November I went to BRICK, a large Lego show at the NEC in Birmingham. Among the hundreds of models shown, both by professional builders and fans, I spotted only two boardgame models, by coincidence both related to ancient Rome.
The first was a simple 8x8 board with pieces for the Roman game Ludus latrunculorum, for which the exact rules are unknown. I forgot to note down who built this model and to ask why the board is so thick (click on the photo to enlarge it). Maybe there is a drawer for the pieces on the side.
The second was Andrew Danieli's amazing rendition in Lego of Ave Caesar, including a box for the cards. Ave Caesar is a great race game, especially in its original edition, where the race track allows for exciting blocking and overtaking. Andrew's model, built over 9 months in 2010, features the much blander track of the recent edition, but instead boasts an impressively detailed circus, with spectators, horses and chariot drivers, soldiers, and Caesar himself.
After clicking on a photo, you can zoom further in to better appreciate the model, although it becomes blurry (I'm a below par photographer using an average phone camera).
Also have a look at Andrew's photos on BoardGameGeek.