For those who don't know much about either games, they're quite different:
#Tiny Towns is a 1-6 player game in which players simultaneously develop a unique town on a 4x4 grid. In each turn, a player will call out the color of a cube that all players must place on one of the available lots. By completing specific tetris-like shapes with the right color pattern, a player will be able to replace all of the associated cubes with the matching building type--which then frees up valuable real estate and the building will score you points at the end. Deceptively complex, this game will test your spatial awareness and either reward a zen-like gameplay or a cutthroat one depending on who you're playing with.
Speaking of cutthroat, ever heard of hate drafting? #Azul is a 2-4 player in which players are tile-laying artists who draft various colored tiles from a shared supply to decorate their walls. Grab as many tiles as possible to make the best patterns and combos, but take too much and you will pay a heavy price for any wasted tiles. Similar to Tiny Towns, Azul also invites potential for mean plays, but even more so. And the starburst-like tiles provide some of the best tactile experiences you'll find in board games.
My vote: #Tiny Towns. As a fan of Tetris, I was instantly amazed by what Tiny Towns managed to accomplish in its design. I wouldn't want to play this for multiple sessions on a single night though, because it would start to give me a headache :D