There are two Lux Cafe's with one each located in both, The Venetian and The Palazzo. This review is for the Palazzo location.
First thing you will notice is an extensive menu which was created by the Founder of Cheesecake Factory, so if you have ever eaten at one of those you know what I'm taking about. The menu gets 5 stars.
I would rate the food here as being in the 3 star to 5 star range depending on what you order. The breakfast omelets are excellent as are the burgers, wraps and many of the sandwiches I have tried. Things like the pancakes were average and nothing to write home about.
The service was a bit off the last two visits with me having to flag down a server to get coffee, creamer, water refills and even simple stuff like ketchup. Despite that the food and meal was still good.
Overall this is a great place to "grab a bite" or perhaps also a drink as they do have a full bar. However, this isn't a romantic experience or even a "real nice" dining experience that will be memorable for years. This is a casual "fill my stomach" experience. For something more, look to some of the 5 star rated restaurants I reviewed.
Enjoy!