With nearly 230 reviews already written I'm not sure what I can say about Blue Martini that hasn't already been said. I generally don't drink martinis, but when I go to the Martini I always have a couple. The tini menu is so extensive that nearly everyone will find something that is to their taste. My favorites to date are the pomegranate and the Blue Martini. The pomegranate is pretty straight forward with the exception of the splash of grapefruit vodka they use. This gives it a bit of a citrusy edge that works well with the sweetness of the pomegranate. The Blue Martini is also a great blend of sweet and tart with OJ and sour mix paired with Blue Curacao and Cointreau. The Lemon Drop, Cosmo and Three Chocolates are also very good.
We've never eaten at The Martini so I can't speak to the quality of their food. This is usual the starting spot for a mini pub crawl around Town Square (we save the eating for Cadillac Ranch or Yardhouse).
The Blue Martini is a great meeting spot and an excellent choice for Happy Hour. The ladies need to be sure to get a Blue Martini card, which gets you a free martini on each visit. Some folks may get a bit of sticker shock when they see the martini prices, but rest assured its money well spent. Your drink comes in an oversized shaker that holds the equivalent of two big drinks. As the more popular places in Vegas go, it's a pretty good deal.
Do be aware that Happy Hour is usually very busy, so get there early.