This is a new company so you have freedom in color and theme design. We can see going with either a word-only logo, or perhaps with a drawn character. The "Zar" in BarZar could be interpreted like Czar or Tsar, a historical monarch or ruler from a Slavic country like Russia (you can do a Google image search for "Tsar" for some examples of actual Tsars). So you could attempt to draw a cartoon "Zar" character as the mascot. Of course, this is a light-hearted, fun mobile application, so if you try this route, make sure the character is funny or cute, and not serious.
Other ideas that would work are strong icon logos (think of the bird in relation to Twitter). Icons like a mustache or something incorporating the letters B and Z (for BarZar) would work. These are just suggestions - feel free to experiment with anything. You could try a crown, but be very careful because we cannot get anywhere close to the look of Budweiser. Another thing we have seen a lot of that does not seem to work that well is imagery of drinks (like Martini glasses or beer mugs). I'm not saying don't do it, but we are trying to stand out here, and many of these images appear too generic.
Finally, we will be making a mobile app so if you could also submit some version of your logo, whether it is the full version or a minimized version, as an App icon for an iPhone or Android app, that would be a huge plus.
Our target market is young, American, working professionals, aged 21-35. Good luck, and thanks for your designs!